Factors of 1000 numbers starting from googolplex
- Alpertron
- Number Theory
- Factors of 1000 numbers starting from googolplex
by Dario Alejandro Alpern
The following table contains all factors I know of the numbers of the type 1010^100 + n, where 0 ≤ n < 1000.
They have no other prime factors less than 350 × 1012.
Please let me know if you found another prime factor of the numbers shown below or if you found a use for this table by filling the form.
Notice the huge number of small prime factors of googolplex + 10 compared to other numbers.
All factors not found by me are marked in bold. The discoverers were: RH = Robert Harley, AC = Alejandra Cartamil, GM = Gustavo Moyano.
There are 14 numbers that have no known factors.
See the related table including known prime factors of numbers of the form googolplex plus powers of 10, i.e., googolplex + 10Exp, where 0 ≤ Exp ≤ 9.
There is also a table including known prime factors of 1000 numbers up to googolplex, i.e., of the form googolplex - n, where 0 ≤ n < 1000.
| n | Prime factors known |
|---|---|
| 0 | 210^100 × 510^100 |
| 1 | 316912 6500570573 5037417580 1344000001 (RH) × 155409907 1060601942 8941102352 8840396801 (RH) × 1467607904 4323299649 4469092393 7202176001 (RH) × 1 1438565962 9969137400 6790782976 0000000001 (RH) × 49 5176015714 1521099596 4968960000 0000000001 (RH) × 739 9415202816 5749791270 4531169280 0000000001 (RH) × 982 3157208340 7610249634 2232457543 6800000001 (RH) × 100727 3002269494 8676990486 3618395851 9808000001 (RH) × 4 9333361276 5059415097 3974773760 0000000000 0000000001 (RH) × 80 1995827673 5747672058 7350999040 0000000000 0000000001 (RH) × 8 3010348331 6929822720 0000000000 0000000000 0000000000 0000000001 (RH) × 325 1238642991 3084723200 0000000000 0000000000 0000000000 0000000001 (RH) × 3 5343349155 6781785088 0000000000 0000000000 0000000000 0000000000 0000000001 (RH) × 15 6941061512 2383454863 3600000000 0000000000 0000000000 0000000000 0000000001 (RH) × 3 7079160476 9783808000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (RH) |
| 2 | 2 × 3 |
| 3 | 7 × 1429 |
| 4 | 22 × 1129 × 1181 × 18917 × 54917 × 14950993 × 2936848501 × 63822551333 |
| 5 | 3 × 5 × 29 × 666666667 × 1211294101 |
| 6 | 2 |
| 7 | 53 × 353872676317843 (GM) |
| 8 | 23 × 32 × 427169 × 49173281 × 4385612934281 |
| 9 | 5501 × 7013 |
| 10 | See 57446 known prime factors (mostly found using the program written by David Broadhurst and enhanced by Phil Carmody). |
| 11 | 3 × 59 × 599 |
| 12 | 22 × 1327 × 2551 × 10695384821227 |
| 13 | 1645318771 |
| 14 | 2 × 3 × 61 × 7539110771 × 21701791399 × 15608210016697 |
| 15 | 5 × 211 × 41018010961 |
| 16 | 24 × 17 × 241 × 1161448529 × 2037472097 |
| 17 | 33 × 7 × 1831 |
| 18 | 2 |
| 19 | 43 × 12244391969671 × 42453618882179 |
| 20 | 22 × 3 × 5 × 389 × 25247 |
| 21 | 11 × 173 × 5248169 |
| 22 | 2 × 233886337 × 4448347516321 |
| 23 | 3 × 13 × 139 × 673 × 18301 × 104659 × 23387719 × 162858473 |
| 24 | 23 × 7 × 1451 × 10039 |
| 25 | 52 × 18797 × 29077 × 192357401899121 |
| 26 | 2 × 32 × 31 × 71 |
| 27 | 37 × 79 × 4159 × 21187 × 79987 × 696481 × 270270271 |
| 28 | 22 × 8297 × 12329 × 208403913852899 |
| 29 | 3 × 19 × 109 × 1171 |
| 30 | 2 × 5 × 13879 × 61385274259703 |
| 31 | 7 |
| 32 | 25 × 3 × 11 × 9241 × 112297 × 975827 × 4278179 × 48445721 × 49269296611 |
| 33 | 17 × 23 × 127 × 1877 × 321733 × 2321089 |
| 34 | 2 × 29 × 598307 × 110945581 |
| 35 | 32 × 5 |
| 36 | 22 × 13 |
| 37 | No prime factors known! |
| 38 | 2 × 3 × 7 × 47 × 239 × 7933 × 192026578441 |
| 39 | 197 × 60003571 × 206573353556989 |
| 40 | 23 × 5 × 41 × 8219 × 30757 × 1445771 |
| 41 | 3 × 1021 × 25888081 |
| 42 | 2 × 883 |
| 43 | 11 × 7477 × 1067249479 |
| 44 | 22 × 33 × 9221 |
| 45 | 5 × 72 × 7547 × 11226269 |
| 46 | 2 × 1823 |
| 47 | 3 × 10529 × 83063 × 504000949 |
| 48 | 24 × 19 × 3994021 |
| 49 | 13 × 661 × 1069 × 146931248021 × 3297598558081 |
| 50 | 2 × 3 × 52 × 17 × 2777 |
| 51 | 131 × 269 × 386809 |
| 52 | 22 × 7 × 14887 × 168737 × 732243923 |
| 53 | 32 × 199729 × 4981333933 × 792366601987 |
| 54 | 2 × 11 × 105827357 |
| 55 | 5 |
| 56 | 23 × 3 × 23 × 10499 × 404837 |
| 57 | 31 × 67 × 2086841 × 301987293389 |
| 58 | 2 × 198327133 × 75824378571547 |
| 59 | 3 × 7 × 2917 × 179717 |
| 60 | 22 × 5 × 532 × 349 × 3467 × 6875041 × 272179566070441 |
| 61 | 13238169517 × 1593288505663 |
| 62 | 2 × 32 × 13 × 43 × 97 × 3043421 |
| 63 | 29 |
| 64 | 26 × 37 × 113 × 457 × 733 × 5861 × 19381 × 73637 × 1293995581 × 720166287661 |
| 65 | 3 × 5 × 11 × 701 |
| 66 | 2 × 7 × 6763 × 27539 × 254281 × 10810932679 × 43016445061 |
| 67 | 17 × 19 × 16553 |
| 68 | 22 × 3 × 157 × 2851 |
| 69 | 167 × 3929 × 727621 × 6984751 |
| 70 | 2 × 5 × 59 × 109007629 × 217556491 |
| 71 | 34 × 947 × 1470067 × 123456791 |
| 72 | 23 × 73 × 283 × 827 × 26459 × 185753 × 504209 |
| 73 | 7 × 83 × 89 × 51512413 × 112505963 × 21367348417 |
| 74 | 2 × 3 × 440158740667 |
| 75 | 52 × 13 × 61 × 1063 × 14407 × 81222904603 |
| 76 | 22 × 11 × 4339 × 171617 × 41401043 × 75144551 × 788912279 × 5782205500861 |
| 77 | 3 × 1687757 × 8695214471971 |
| 78 | 2 × 307 × 419 × 465308843 |
| 79 | 23 × 1979 × 3571 × 5361907 |
| 80 | 24 × 32 × 5 × 7 × 2341 × 74869 × 10023842104189 |
| 81 | 41 × 1873 × 2729 |
| 82 | 2 |
| 83 | 3 × 1543 × 7331 × 623754753341 |
| 84 | 22 × 17 × 588277 |
| 85 | 5 × 47 × 193 × 4127 × 136811 × 206879 × 3719936593 × 7223778311279 |
| 86 | 2 × 3 × 19 × 3542232191 × 126670089607 |
| 87 | 7 × 11 × 1399 × 11287 × 32413 |
| 88 | 23 × 13 × 31 × 293 |
| 89 | 32 |
| 90 | 2 × 5 × 179 |
| 91 | 159731905867 |
| 92 | 22 × 3 × 29 × 16561 |
| 93 | 227 × 9297184121 |
| 94 | 2 × 72 × 103 × 443 × 6857 × 2534836231 |
| 95 | 3 × 5 × 107 × 105503 |
| 96 | 25 × 491 × 98232319 |
| 97 | 71 × 937 × 54525473 |
| 98 | 2 × 33 × 11 × 5209 |
| 99 | 261127 × 233107711 |
| 100 | 22 × 52 × 101 × 4404341 × 16844385116981 × 3445187349024049 |
| 101 | 3 × 7 × 13 × 17 × 37 × 139361 × 1417543 |
| 102 | 2 × 23 |
| 103 | 129293 × 2447329 × 1051445357 × 1935016704059 |
| 104 | 23 × 3 × 2111 × 3137 × 8861 × 997319 |
| 105 | 5 × 19 × 43 × 439 |
| 106 | 2 × 79 × 467 × 3917 × 944937535601 × 5215224882107 × 6555851138723 |
| 107 | 32 × 1277 × 7937 × 81409 × 203692794763 |
| 108 | 22 × 7 × 5563 |
| 109 | 11 × 2039 × 156487 |
| 110 | 2 × 3 × 5 |
| 111 | No prime factors known! |
| 112 | 24 × 967 × 3048395557 |
| 113 | 3 × 53 |
| 114 | 2 × 13 × 5056169 × 2137027352531 |
| 115 | 5 × 7 × 4643 × 280607 × 3076973 |
| 116 | 22 × 32 × 281 × 6108161 × 2408257438313 |
| 117 | 21061 × 94725607 |
| 118 | 2 × 17 |
| 119 | 3 × 31 × 151 × 475693 × 1371281437 |
| 120 | 23 × 5 × 11 × 2797 |
| 121 | 29 |
| 122 | 2 × 3 × 7 × 41 × 163 |
| 123 | 17648856343 × 286729771709 |
| 124 | 22 × 19 × 67 |
| 125 | 33 × 53 × 23 |
| 126 | 2 × 263 |
| 127 | 13 |
| 128 | 27 × 3 × 33587 |
| 129 | 7 × 59 × 2837 × 892663 × 17551311769933 |
| 130 | 2 × 5 × 31183 × 4044617 × 59183933 |
| 131 | 3 × 112 × 178831 × 1055611 × 59537911 × 27589417422571 |
| 132 | 22 × 47 × 16519 × 57309809 |
| 133 | No prime factors known! |
| 134 | 2 × 32 |
| 135 | 5 × 17 × 499 × 5838451 |
| 136 | 23 × 7 × 61 × 137 × 2971 × 23212919 × 7780377456391 |
| 137 | 3 × 10853 × 429281 × 5979811 × 7955581 |
| 138 | 2 × 372 × 109 |
| 139 | 191 × 65477681 |
| 140 | 22 × 3 × 5 × 13 |
| 141 | 277 × 859 × 59611 × 66496385719 |
| 142 | 2 × 11 × 181 × 311 × 281804459 × 5172249587 |
| 143 | 32 × 73 × 19 × 149 |
| 144 | 24 × 503344253 |
| 145 | 5 × 73 |
| 146 | 2 × 3 × 265157 × 366697 × 359659681 × 2281967767 |
| 147 | 35221 |
| 148 | 22 × 232 × 43 × 647 × 37695430753 |
| 149 | 3 |
| 150 | 2 × 52 × 7 × 29 × 31 × 223 × 21949667911 |
| 151 | 547 |
| 152 | 23 × 35 × 17 |
| 153 | 11 × 132 × 373 |
| 154 | 2 |
| 155 | 3 × 5 × 208997 × 218453 |
| 156 | 22 × 83 × 20173 × 188147 |
| 157 | 7 × 1109 × 200029 × 338461 × 594512101 × 2296968306751 |
| 158 | 2 × 3 × 7307 |
| 159 | 97 × 233 × 7211 × 17713 × 1235592119 |
| 160 | 25 × 5 × 127 × 4135914698459 |
| 161 | 32 × 9719 × 18203660161 × 60734753213 |
| 162 | 2 × 19 × 89 × 139 × 490163776603 |
| 163 | 41 × 95429 |
| 164 | 22 × 3 × 7 × 11 × 35801 × 42221 |
| 165 | 5 |
| 166 | 2 × 13 × 53 × 1663 |
| 167 | 3 × 417987659 |
| 168 | 23 × 71 |
| 169 | 17 × 25189 × 135101 × 1452179575921 |
| 170 | 2 × 32 × 5 × 2687337427661 × 276824809882639 |
| 171 | 7 × 23 × 1303 |
| 172 | 22 × 3833 × 4969 |
| 173 | 3 × 41057 |
| 174 | 2 × 2273 × 24813203 |
| 175 | 52 × 11 × 37 |
| 176 | 24 × 3 |
| 177 | 113 × 34033 × 12955351685099 |
| 178 | 2 × 7 × 2027 × 86369 × 317089688283779 |
| 179 | 33 × 13 × 292 × 47 |
| 180 | 22 × 5 × 176453988463 × 477563539883 |
| 181 | 19 × 31 × 366599 |
| 182 | 2 × 3 × 131 × 823 × 744941 × 28926217 × 123742111567 × 1093516321903 |
| 183 | No prime factors known! |
| 184 | 23 × 787 × 92290266917 |
| 185 | 3 × 5 × 7 × 79 × 4231 × 11005556096351 |
| 186 | 2 × 11 × 17 × 42457886675753 |
| 187 | No prime factors known! |
| 188 | 22 × 32 × 59 × 4139 |
| 189 | 199 × 2459 × 36182643352417 |
| 190 | 2 × 5 × 487 × 18289 × 130730501085937 |
| 191 | 3 × 43 × 67 × 179167 × 2457910193 × 25641170249 |
| 192 | 26 × 72 × 13 × 541 × 33427 × 33923585347 × 1662154135459 |
| 193 | No prime factors known! |
| 194 | 2 × 3 × 23 × 173 × 313 × 124132523881 |
| 195 | 5 |
| 196 | 22 × 323933369 |
| 197 | 32 × 11 × 61 × 103 × 2999 × 7893211 |
| 198 | 2 × 578699729 |
| 199 | 7 |
| 200 | 23 × 3 × 52 × 19 × 33659477119819 |
| 201 | 101 × 73583 |
| 202 | 2 × 107 × 919 |
| 203 | 3 × 17 × 31817 |
| 204 | 22 × 41 |
| 205 | 5 × 13 × 367 × 23376747103 × 3259894642721 |
| 206 | 2 × 33 × 7 × 73673407 |
| 207 | 21613693 × 108055039 × 683216670953 × 116094417297437 |
| 208 | 24 × 11 × 29 × 3187 |
| 209 | 3 × 229 × 1709863 |
| 210 | 2 × 5 × 5055671029 |
| 211 | 383 × 9743 × 650861 × 188722819 |
| 212 | 22 × 3 × 31 × 37 × 631 × 659 × 9466657 |
| 213 | 7 × 2153 × 49899503109791 |
| 214 | 2 × 11279 |
| 215 | 32 × 5 × 359 × 881 × 17807 |
| 216 | 23 × 37585927 × 1877754341 × 161578973903551 |
| 217 | 23 |
| 218 | 2 × 3 × 13 × 73 |
| 219 | 11 × 19 × 53 × 12957953 |
| 220 | 22 × 5 × 7 × 17 × 6361 × 1166441 × 31574047 × 4444874215511 |
| 221 | 3 × 2129 × 10399 × 9596179063 |
| 222 | 2 × 997 |
| 223 | 289482797 × 107268443759 |
| 224 | 25 × 32 × 569 × 977 × 33997 × 93802862411 |
| 225 | 52 × 157 × 409 × 3361 |
| 226 | 2 × 472 × 211 × 22067 × 479946220367 |
| 227 | 3 × 7 |
| 228 | 22 |
| 229 | 2383613 |
| 230 | 2 × 3 × 5 × 11 |
| 231 | 13 × 5887109 × 3359123749 |
| 232 | 23 × 848636282539 × 3843167536469 |
| 233 | 34 × 337 × 1453 × 30045181 × 73576823 |
| 234 | 2 × 7 × 43 × 49004448511 |
| 235 | 5 |
| 236 | 22 × 3 × 167 × 197 × 2481404260831 |
| 237 | 17 × 29 × 2357 × 111190446559 |
| 238 | 2 × 19 × 65782322981 |
| 239 | 3 × 71 × 83 × 1291 × 9040321891 |
| 240 | 24 × 5 × 23 × 164701 |
| 241 | 72 × 11 × 1237 × 105175443311951 |
| 242 | 2 × 32 |
| 243 | 31 |
| 244 | 22 × 13 × 7115051 × 45413105877857 × 64240888145711 |
| 245 | 3 × 5 × 41 × 3472769 × 3362128170607 |
| 246 | 2 × 2767 × 16731542873 |
| 247 | 59 × 109 × 383179 × 60667111054567 |
| 248 | 23 × 3 × 7 × 14221 × 149077873379 × 30107001708557 |
| 249 | 37 × 10655027 × 51112298155771 |
| 250 | 2 × 53 × 251 × 4241 × 1405024630241 |
| 251 | 32 × 89 × 331 × 170010990945371 |
| 252 | 22 × 112 |
| 253 | 29243 × 8749302740159 |
| 254 | 2 × 3 × 172 × 317 × 5503 × 104311 × 5893565617 |
| 255 | 5 × 7 × 775197721 × 230474811239 × 361012017319 |
| 256 | 28 × 97 × 257 × 577 × 27329 |
| 257 | 3 × 13 × 19 × 241 × 17747 × 2119643 |
| 258 | 2 × 61 × 67 × 2415188624899 |
| 259 | 643 × 4958351 |
| 260 | 22 × 33 × 5 × 1657 × 2249363 |
| 261 | 1377532555921 |
| 262 | 2 × 7 × 1307 |
| 263 | 3 × 11 × 23 × 13720433 × 3039006273643 |
| 264 | 23 × 79 × 10987 × 68336782762841 |
| 265 | 5 × 379 × 333019 |
| 266 | 2 × 3 × 29 × 7324931 |
| 267 | 3184015039 |
| 268 | 22 × 773 × 12589 × 90124147 × 553608487 × 857901047 × 10144905671 × 3290005626301 |
| 269 | 32 × 7 × 179 × 431 |
| 270 | 2 × 5 × 13 × 151 × 271 × 48158923 |
| 271 | 17 × 266549 × 3635791 × 714324545911 |
| 272 | 24 × 3 × 53 |
| 273 | 47 × 137 × 386851 |
| 274 | 2 × 11 × 31 |
| 275 | 3 × 52 × 10429 × 57487 × 4063097 |
| 276 | 22 × 7 × 19 × 52255087 |
| 277 | 43 × 239 × 2074103 |
| 278 | 2 × 32 × 193 × 2699 × 6800279 × 177277283 × 13356140198881 |
| 279 | 5879 |
| 280 | 23 × 5 × 757 × 4517 × 6299 × 287059 × 994916917 |
| 281 | 3 × 1103 |
| 282 | 2 × 1489 × 167159 |
| 283 | 7 × 13 × 1229 × 16937 × 37999727 × 1196011429 × 133662471611 × 9026390906471(AC) |
| 284 | 22 × 3 × 7351 |
| 285 | 5 × 11 × 163 × 1151 |
| 286 | 2 × 23 × 37 × 41 × 619 × 3169 × 10008419 × 754193586079 |
| 287 | 33 × 127 × 2087 × 1442921 |
| 288 | 25 × 17 × 2430683 |
| 289 | 5667317 |
| 290 | 2 × 3 × 5 × 72 × 113 × 3371 × 61735159 × 70768336981 |
| 291 | 73 × 2648081 × 8743997 × 932155542869 |
| 292 | 22 × 149 |
| 293 | 3 × 125641 × 1452809 × 5502255299869 |
| 294 | 2 × 1742529731 |
| 295 | 5 × 19 × 29 × 11483 |
| 296 | 23 × 32 × 11 × 13 × 1483 |
| 297 | 7 × 86859490477 |
| 298 | 2 × 166457 |
| 299 | 3 × 14135318231501 |
| 300 | 22 × 52 × 103 |
| 301 | 139 × 571 × 356711801 × 783871703 |
| 302 | 2 × 3 × 101 × 13093 |
| 303 | 60557941 |
| 304 | 24 × 7 × 9263131 |
| 305 | 32 × 5 × 17 × 31 × 1597 × 7369 × 2129308741177 |
| 306 | 2 × 59 × 34734677 × 13675221054251 |
| 307 | 11 × 1581279524093 |
| 308 | 22 × 3 × 2953697 × 874500131 × 62561707349 |
| 309 | 13 × 23 × 107 × 3251 × 5612784269167 |
| 310 | 2 × 5 × 71 × 928651 × 8706313614079 |
| 311 | 3 × 7 × 17117 × 21817 × 21968263 × 20145807793259 |
| 312 | 23 × 154841 |
| 313 | 131 |
| 314 | 2 × 34 × 192 × 761616433 |
| 315 | 5 × 52927319 |
| 316 | 22 × 609273253 × 270650590751771 |
| 317 | 3 × 20483 |
| 318 | 2 × 7 × 11 × 347 × 21788461 × 1923512850583 |
| 319 | 61 × 587 |
| 320 | 26 × 3 × 5 × 43 × 47 × 227 × 269 × 26161 |
| 321 | 17627 × 17589509429 |
| 322 | 2 × 132 × 17 × 83 |
| 323 | 32 × 37 × 181 × 189401 × 30030031 × 278217651443 |
| 324 | 22 × 29 × 2693 × 65837 × 52400809 × 170124277 × 238928201 × 5215473889 |
| 325 | 52 × 7 × 53 × 67 × 80209 |
| 326 | 2 × 3 × 12377 × 231643 × 4041217 |
| 327 | 41 |
| 328 | 23 × 56266057633 × 65186057899 |
| 329 | 3 × 11 × 239849 |
| 330 | 2 × 5 × 191 |
| 331 | No prime factors known! |
| 332 | 22 × 32 × 7 × 23 |
| 333 | 19 × 6833 × 3170281 × 261514541 |
| 334 | 2 × 18457 × 76607 |
| 335 | 3 × 5 × 13 × 2069 × 2861 × 30119743 × 208309147 × 378917003 |
| 336 | 24 × 31 × 6794735261 × 33437724770287 |
| 337 | 1097 × 66083 |
| 338 | 2 × 3 |
| 339 | 72 × 17 × 2437 × 288947 × 23834033011 |
| 340 | 22 × 5 × 11 × 89 × 463 × 315409 |
| 341 | 33 |
| 342 | 2 × 8134957 × 1690431443 |
| 343 | 79 × 69371 × 647609 |
| 344 | 23 × 3 × 25275287 × 14813442667 |
| 345 | 5 |
| 346 | 2 × 7 × 207469 × 817111 |
| 347 | 3 × 469801 |
| 348 | 22 × 13 |
| 349 | 7817 |
| 350 | 2 × 32 × 52 × 39619 × 5770072319861 |
| 351 | 11 × 36341 × 1594097 × 169065012247 |
| 352 | 25 × 19 × 353 × 433 |
| 353 | 3 × 7 × 29 × 97 × 10169 × 11443 × 19257330628477 |
| 354 | 2 × 7219 × 63998875820773 |
| 355 | 5 × 23 × 283 × 46769687 × 411116391527 |
| 356 | 22 × 3 × 17 × 109 × 1559 × 14401 × 5698597193 |
| 357 | 35032386373 |
| 358 | 2 × 479 × 11867 |
| 359 | 32 × 90121 |
| 360 | 23 × 5 × 7 × 37 × 476609617489 |
| 361 | 13 × 769 × 929 × 254375870570893 |
| 362 | 2 × 3 × 11 × 6656128147 × 81169096488559 |
| 363 | 43 × 1009 × 138219111815143 |
| 364 | 22 × 73 |
| 365 | 3 × 5 × 59 × 1153 |
| 366 | 2 × 2207 × 14607967729 |
| 367 | 7 × 31 × 47 × 173 × 213203 × 1779761 |
| 368 | 24 × 33 × 41 × 26892389008867 |
| 369 | 61651 × 933497 |
| 370 | 2 × 5 × 246193 × 395197101059 |
| 371 | 3 × 19 × 12721 × 24659 |
| 372 | 22 × 27689 × 29453 |
| 373 | 112 × 17 × 223 × 177969691 × 44425160308939 |
| 374 | 2 × 3 × 7 × 13 × 26201887147 × 230263510870639 |
| 375 | 53 × 1669 × 8597 × 3079557773 |
| 376 | 23 × 104137337 × 615376337777 |
| 377 | 32 × 2591 × 4516151 |
| 378 | 2 × 23 × 53 × 78329305513861 |
| 379 | 1937001722989 |
| 380 | 22 × 3 × 5 × 61 × 691 × 2014198337 |
| 381 | 7 × 71 × 293 |
| 382 | 2 × 29 × 157 × 853 × 991 × 4129 × 17584838575939 |
| 383 | 3 × 3212018081 |
| 384 | 27 × 11 |
| 385 | 5 × 307 × 299496984001 × 917364503449 × 81462278747809 |
| 386 | 2 × 32 × 14110841 |
| 387 | 13 × 397 × 402873173 × 12145961203 × 198325370917 |
| 388 | 22 × 72 × 199 × 421 × 8741 × 60727333 |
| 389 | 3 × 263 × 5443 × 13537 × 1736437 |
| 390 | 2 × 5 × 17 × 19 × 1051 × 152993 × 1241389 |
| 391 | 1571 × 5374153 × 9912029 |
| 392 | 23 × 3 × 67 × 233 × 2179 × 11003 × 24337 |
| 393 | 27431 × 87517 |
| 394 | 2 × 63803 |
| 395 | 35 × 5 × 7 × 11 × 6449 × 36013 |
| 396 | 22 × 8196705516913 × 122666656770617 |
| 397 | 37 × 281 × 6117661118077 |
| 398 | 2 × 3 × 31 × 376633 × 4152470449759 |
| 399 | 2963 × 447319 × 1381693 × 327971038061 |
| 400 | 24 × 52 × 13 × 401 × 293259098413 × 18313878550213 |
| 401 | 3 × 23 |
| 402 | 2 × 7 |
| 403 | 101 × 103 × 113 × 167 × 857 × 3499 × 9007 × 5891617 × 162859493 |
| 404 | 22 × 32 × 829 × 5827321 × 597440905157 × 332240627510699 |
| 405 | 5 × 83 × 327229545291109 |
| 406 | 2 × 11 × 43 × 4550730809 × 17970879937 |
| 407 | 3 × 17 × 719 × 105331 × 169399 × 4343401 × 97053069671 |
| 408 | 23 |
| 409 | 7 × 19 × 41 × 349 × 389 × 821 × 6367 × 18911 |
| 410 | 2 × 3 × 5 × 137 × 216103 × 33172873 |
| 411 | 29 × 2267 × 105367 × 313849 |
| 412 | 22 × 6143 × 192492323 |
| 413 | 32 × 13 × 3533813 |
| 414 | 2 × 47 × 127 × 7781115402421 |
| 415 | 5 × 3373 × 7607 × 56843 × 213361 × 81393551 |
| 416 | 25 × 3 × 7 × 107 × 30044052173 |
| 417 | 11 × 40357 × 2893142200643 |
| 418 | 2 × 277 × 46955620601 |
| 419 | 3 × 14639 × 1241159 × 184653757 × 28081367591 |
| 420 | 22 × 5 × 84053 × 36607799 |
| 421 | 151 × 613 × 12239 × 72031 × 120874684837 |
| 422 | 2 × 33 × 79 × 6827 × 8641 × 14387573 |
| 423 | 7 × 102079 × 1752211 |
| 424 | 23 × 17 × 23 × 59 × 1373 × 1164597456961 |
| 425 | 3 × 52 × 66082433 |
| 426 | 2 × 13 |
| 427 | 14969 × 266072813 |
| 428 | 22 × 3 × 11 × 19 × 461 × 28151 |
| 429 | 31 × 89 |
| 430 | 2 × 5 × 7 × 11475253 |
| 431 | 32 × 53 |
| 432 | 24 |
| 433 | 197 × 1629936368219 |
| 434 | 2 × 3 × 37 × 117298627 × 316985623667 × 408214728169 × 57076037657803 |
| 435 | 5 × 1367 |
| 436 | 22 × 357733 × 107403692936311 |
| 437 | 3 × 72 × 73 × 211 × 360257 |
| 438 | 2 × 229 × 2339 × 2641663 |
| 439 | 11 × 13 × 9739 × 4205599 × 21684679 |
| 440 | 23 × 32 × 5 × 29 × 139 × 99169117 |
| 441 | 17 × 61 × 149 × 97483541 × 48617569201681 |
| 442 | 2 × 2237 × 147734549 |
| 443 | 3 × 628419349 |
| 444 | 22 × 7 × 131 × 797 × 2113 |
| 445 | 5 × 4363 |
| 446 | 2 × 3 × 15492929107231 |
| 447 | 19 × 23 × 7853 × 444884533 |
| 448 | 26 × 163 × 179 × 449 |
| 449 | 33 × 43 |
| 450 | 2 × 52 × 11 × 41 × 97 × 1361 × 724676858849 |
| 451 | 7 × 5273 × 10949 × 3671089 × 53123832081373 |
| 452 | 22 × 3 × 13 × 71 × 1013 × 6337 × 5945279 × 46861363 × 1046024311 × 3850289684071 |
| 453 | 311 |
| 454 | 2 |
| 455 | 3 × 5 × 4441 × 11731297 × 7416705589 |
| 456 | 23 × 8470351 × 19881751 × 5068402799 |
| 457 | 1607 × 2502953 × 124648091 |
| 458 | 2 × 32 × 7 × 17 |
| 459 | 67 × 1637 × 47659 × 8858347 × 79888441 × 4797780037 × 29898090162217 |
| 460 | 22 × 5 × 31 |
| 461 | 3 × 11 × 47 × 100649 × 2047237 × 12784879481981 |
| 462 | 2 × 677 × 82963 |
| 463 | 11527 |
| 464 | 24 × 3 |
| 465 | 5 × 7 × 13 × 109 × 308704189 |
| 466 | 2 × 19 × 420163 × 148206038033 |
| 467 | 32 |
| 468 | 22 × 7489 |
| 469 | 29 × 11803031 × 25863191 |
| 470 | 2 × 3 × 5 × 23 × 953 × 81077 × 46901483 × 1474104893 |
| 471 | 37 × 193 × 2131 |
| 472 | 23 × 7 × 11 × 1493 × 9293 × 196991 × 222127 × 282962683 |
| 473 | 3 × 87750167227559 |
| 474 | 2 × 1723 × 41571515070377 |
| 475 | 52 × 17 × 366957853 |
| 476 | 22 × 34 × 1283 × 1567 × 2791 × 9851 × 13693 × 103069 × 48728926187 |
| 477 | 1753 × 7109 |
| 478 | 2 × 13 × 18492041 × 13799952601 × 2119850911669 |
| 479 | 3 × 7 × 2137 × 43889 × 390076301 |
| 480 | 25 × 5 × 2579 × 101917 |
| 481 | 2143 |
| 482 | 2 × 3 × 151091 × 245527 × 4769111 |
| 483 | 11 × 59 × 184571 × 1709463859 × 290993551111 |
| 484 | 22 × 53 × 509 × 1049 |
| 485 | 32 × 5 × 19 × 110906911 × 2720484667 × 83822291083 × 459771080603 |
| 486 | 2 × 73 × 1787 |
| 487 | 12161 |
| 488 | 23 × 3 × 83 × 221659 × 222027037 × 8994607913 |
| 489 | 563 × 1878511541867 |
| 490 | 2 × 5 × 80489 × 3093317 |
| 491 | 3 × 132 × 31 × 41 × 27544273 |
| 492 | 22 × 17 × 433 × 521 × 523 |
| 493 | 7 × 23 × 253501 |
| 494 | 2 × 32 × 112 × 29033 × 106627 × 829811 |
| 495 | 5 × 1553 |
| 496 | 24 × 4210879 × 521568881 |
| 497 | 3 × 419 × 5428853 × 3369430891621 |
| 498 | 2 × 29 × 241 × 13669 × 3944249 |
| 499 | No prime factors known! |
| 500 | 22 × 3 × 53 × 7 × 3947 × 24229 × 214214927621 × 2358204886663 |
| 501 | 79 × 251 × 439235549 |
| 502 | 2 × 61 × 304303 × 1276118189 |
| 503 | 33 × 15767179 × 175836416563 × 340179262693069 |
| 504 | 23 × 13 × 19 × 101 × 181 |
| 505 | 5 × 11 |
| 506 | 2 × 3 × 103 |
| 507 | 7 × 313 × 1292887 |
| 508 | 22 × 37 × 47 × 19463 × 85037 × 3810211 × 152051898289 |
| 509 | 3 × 17 × 7793 × 39538007 |
| 510 | 2 × 5 × 73 × 406361 × 6809837 × 3183087660497 |
| 511 | No prime factors known! |
| 512 | 29 × 32 |
| 513 | 257 × 503 × 2543 × 6329 × 59723879 |
| 514 | 2 × 7 × 2369993 × 1624933867633 |
| 515 | 3 × 5 |
| 516 | 22 × 11 × 23 × 113 × 239 |
| 517 | 13 × 1061 |
| 518 | 2 × 3 × 89 |
| 519 | No prime factors known! |
| 520 | 23 × 5 × 1697 |
| 521 | 32 × 7 × 191 × 457 × 2141 × 210371417089 × 9692403576481 |
| 522 | 2 × 31 × 770057 × 31348481237 |
| 523 | 19 × 71 × 107 |
| 524 | 22 × 3 × 1487 × 28352518087 × 764070470321 |
| 525 | 52 |
| 526 | 2 × 17 × 67 × 373 × 302767 |
| 527 | 3 × 11 × 29 × 16619 × 100685369767 × 12808403436761 |
| 528 | 24 × 7 × 761 × 7907 × 51419 × 17438731 |
| 529 | 12889 × 57462755137 × 18539217282281 |
| 530 | 2 × 33 × 5 × 13 × 42061 × 2063918071 |
| 531 | 283369 × 92236423 |
| 532 | 22 × 41 × 5831971 × 2047565898317 |
| 533 | 3 × 560701 × 44847031 |
| 534 | 2 × 91119113 × 3278732986253 × 30015065970251 |
| 535 | 5 × 72 × 43 × 941 × 781402615561 |
| 536 | 23 × 3 × 653 × 149033379840733 |
| 537 | 53 × 443 × 32341 |
| 538 | 2 × 11 × 13627 × 15497 × 2892931 × 15898109 × 5795997061 × 92121274139 |
| 539 | 32 × 23 × 157 × 2864843 × 210312187709963 |
| 540 | 22 × 5 × 173 |
| 541 | 127 × 271 × 557 × 111083678507 |
| 542 | 2 × 3 × 7 × 19 × 59 |
| 543 | 13 × 172 × 4657 × 45282227986997 |
| 544 | 25 × 439 × 7121 × 202327 × 15674759 |
| 545 | 3 × 5 × 37 × 1193 × 327203 × 64081361 × 569948192963 |
| 546 | 2 × 11987985619 |
| 547 | 97 × 137 × 227 |
| 548 | 22 × 32 |
| 549 | 7 × 11 × 2003 × 12417173 × 830210449 |
| 550 | 2 × 52 × 8761 |
| 551 | 3 × 983 × 83394617 |
| 552 | 23 × 279957247 × 238235779384601 |
| 553 | 31 × 1513069 × 2746590823 |
| 554 | 2 × 3 × 21940299861611 |
| 555 | 5 × 47 × 16278323 × 71304033733 |
| 556 | 22 × 7 × 13 × 29 × 49261 × 25471519 × 156319964372977 × 407058020299703 (PC) |
| 557 | 34 × 57977 × 3427678333 |
| 558 | 2 × 32069 × 65133625393307 |
| 559 | 106363 |
| 560 | 24 × 3 × 5 × 11 × 17 × 16759 × 19519481 × 1004955499 × 3096124755337 |
| 561 | 19 × 341777 |
| 562 | 2 × 23 × 2731 × 12791 × 17749 × 58217 × 1816253 × 1439698097 × 338966246621 |
| 563 | 3 × 7 × 61 × 2978683 × 537056096419 |
| 564 | 22 × 683 × 1019 × 6661 × 45989 × 187668101 |
| 565 | 5 |
| 566 | 2 × 32 × 23819 × 1922900543 |
| 567 | 579947 × 1954075481 |
| 568 | 23 × 170627 × 418934449631 |
| 569 | 3 × 13 |
| 570 | 2 × 5 × 7 × 167 × 337 × 355031 × 1330228457 |
| 571 | 11 × 83 × 317 × 2714867 × 40163303 |
| 572 | 22 × 3 × 151 × 367 × 15533753 |
| 573 | 41 × 467 × 24781339621 |
| 574 | 2 × 109 × 359 × 1289 |
| 575 | 32 × 52 × 131 × 33037 × 12127571 |
| 576 | 26 × 1321 × 66984601 × 162735832537 |
| 577 | 7 × 17 × 593 × 601 × 43517179 × 110190806711933 |
| 578 | 2 × 3 × 43 × 18507473 × 1669019579 |
| 579 | 139 × 709 × 12254030052617 × 130454381521613 |
| 580 | 22 × 5 × 19 × 79 |
| 581 | 3 × 1033 × 188317 × 308723 × 719085137 × 4379319864407 |
| 582 | 2 × 11 × 13 × 37 × 331 × 1741 |
| 583 | 73 × 1381 × 27685718119 × 820504256711 |
| 584 | 23 × 33 × 72 × 31 × 2351 |
| 585 | 5 × 23 × 29 × 1879 × 18379981 × 55443847 × 2576865339157 |
| 586 | 2 × 617 × 3821 |
| 587 | 3 × 199 × 491 |
| 588 | 22 × 442027 |
| 589 | 269 × 1217 × 3089 × 6263 |
| 590 | 2 × 3 × 5 × 53 × 149 × 1459 × 75833 × 25499233 × 991509361147 × 2006197534249 |
| 591 | 7 × 3631 × 4071386684891 |
| 592 | 24 × 26839 × 736243 × 1997713 |
| 593 | 32 × 11 × 67 × 25778771 × 175529209 |
| 594 | 2 × 17 × 71 × 383 × 1187 |
| 595 | 5 × 13 × 907 × 25717 |
| 596 | 22 × 3 × 223 × 1031 |
| 597 | 3316981 |
| 598 | 2 × 7 × 315281 × 12319750736963 |
| 599 | 3 × 19 |
| 600 | 23 × 52 × 538739 |
| 601 | 59 × 3163669261 × 8971787482811 |
| 602 | 2 × 32 × 47 × 2887 × 19553 |
| 603 | 14461 |
| 604 | 22 × 11 |
| 605 | 3 × 5 × 7 × 101 × 3307 × 13043 × 27541 × 46703 × 4778933279921 |
| 606 | 2 × 57149 |
| 607 | 89 × 7577 × 228829 × 565507 × 7688011 × 309695329 |
| 608 | 25 × 3 × 13 × 23 × 482539 |
| 609 | 103 × 3652477 × 28414487 |
| 610 | 2 × 5 × 599 × 1039 |
| 611 | 33 × 17 × 163 × 1223 |
| 612 | 22 × 7 × 48397 × 2225689 × 537059099 |
| 613 | 971 × 4352827 × 97397011 × 742839211753 |
| 614 | 2 × 3 × 29 × 41 × 89627 |
| 615 | 5 × 112 × 313 × 43356713 |
| 616 | 23 |
| 617 | 3 × 607 |
| 618 | 2 × 19 × 887 × 1993 |
| 619 | 7 × 37 × 7550083 |
| 620 | 22 × 32 × 5 × 27410514853 |
| 621 | 13 × 43 × 14369 × 56259445337 |
| 622 | 2 × 3671 × 156673831 |
| 623 | 3 × 710736899401 × 748092173291 |
| 624 | 24 × 61 × 2037820747 × 296456603753 |
| 625 | 54 × 233 |
| 626 | 2 × 3 × 7 × 11 |
| 627 | 179 × 811 |
| 628 | 22 × 17 × 7666157 |
| 629 | 32 × 113 × 242973737 × 98655432349 |
| 630 | 2 × 5 × 107 × 197 × 797917 |
| 631 | 23 × 5370305512643 |
| 632 | 23 × 3 × 123373 |
| 633 | 72 × 6513306199 |
| 634 | 2 × 13 × 409 × 499 × 39323 × 5019257 |
| 635 | 3 × 5 × 30869 × 925271 |
| 636 | 22 × 2981483 × 142218877733 |
| 637 | 11 × 19 × 8017 × 34061 |
| 638 | 2 × 36 × 283 |
| 639 | 7952500537 |
| 640 | 27 × 5 × 7 × 641 × 161059 × 18290893 × 1429028611 × 56191715887 × 340417833727 |
| 641 | 3 × 55903 × 44326561 |
| 642 | 2 × 839 × 34326839 |
| 643 | 29 × 53 × 60915765493139 |
| 644 | 22 × 3 × 97 × 379 × 104047 × 52189961 × 2294750993 |
| 645 | 5 × 17 × 1601957239 |
| 646 | 2 × 31 × 26759 × 31019 |
| 647 | 32 × 7 × 13 |
| 648 | 23 × 11 × 211 × 14537 |
| 649 | 47 × 63311 × 1100783 |
| 650 | 2 × 3 × 52 × 483503 × 517497343697 |
| 651 | 605447393 |
| 652 | 22 × 263 × 4787 × 866231 × 230775435778687 |
| 653 | 3 |
| 654 | 2 × 7 × 23 × 83 |
| 655 | 5 × 41 × 44809 × 119173371771829 |
| 656 | 24 × 32 × 19 × 37 × 73 × 95570659 |
| 657 | 65872291 × 22963248643 × 4937924087741 × 8388706159853 |
| 658 | 2 × 15769687 |
| 659 | 3 × 11 × 79 × 19466950627 |
| 660 | 22 × 5 × 132 × 59 × 67 × 2281 × 123583 |
| 661 | 7 × 4027 × 24133 × 4879607 |
| 662 | 2 × 3 × 17 × 198629689 |
| 663 | 46411 |
| 664 | 23 × 43 × 193 × 727 × 167519383 |
| 665 | 33 × 5 × 71 × 347 × 1583 |
| 666 | 2 × 4366919 × 473674471693 |
| 667 | 229 × 48413 × 520309 × 1448294587 × 28077845221997 |
| 668 | 22 × 3 × 7 × 127 |
| 669 | No prime factors known! |
| 670 | 2 × 5 × 11 × 39679 × 2907890399 |
| 671 | 3 × 3491 × 4451 × 4483 |
| 672 | 25 × 29 × 160892124343 |
| 673 | 13 × 21503 |
| 674 | 2 × 32 × 293 |
| 675 | 52 × 7 × 192 × 3185821 |
| 676 | 22 × 586089557 |
| 677 | 3 × 232 × 31 × 487 × 3359 × 215181271 |
| 678 | 2 × 281 |
| 679 | 17 |
| 680 | 23 × 3 × 5 |
| 681 | 11 × 2287 × 458789 × 532558591 |
| 682 | 2 × 72 × 6679 × 5223037 × 19472977 × 405475951 × 3182352707 |
| 683 | 32 × 109 × 85121 × 11341075203553 |
| 684 | 22 × 137 × 15331 × 395581 |
| 685 | 5 × 61 × 181 |
| 686 | 2 × 3 × 13 × 1481 × 6163 |
| 687 | 32443 × 37022231 |
| 688 | 24 |
| 689 | 3 × 7 × 7001 × 50700479 |
| 690 | 2 × 5 |
| 691 | 863 × 6083479 × 101369887 × 254098379 |
| 692 | 22 × 33 × 11 × 307 × 1093 × 94951 × 21283080257 × 37864122607 |
| 693 | 37 |
| 694 | 2 × 19 × 2309 × 1206529 × 45988653121 × 13680644890877 |
| 695 | 3 × 5 × 277 × 18471922068233 |
| 696 | 23 × 7 × 17 × 41 × 47 × 53 × 89 × 157 × 673 × 431581459 × 37606660967 |
| 697 | 1871 × 2499266947 |
| 698 | 2 × 3 × 547 × 300497447 |
| 699 | 13 |
| 700 | 22 × 52 × 23 × 431 × 743 × 523330963 |
| 701 | 32 × 29 × 18257 × 129049 |
| 702 | 2 × 31699 × 591599 × 687809 × 183647302040843 |
| 703 | 7 × 11 × 1137247 |
| 704 | 26 × 3 × 1921481 |
| 705 | 5 × 353 × 6545963 |
| 706 | 2 × 101 × 131 × 5806338580249 × 218860244515691 |
| 707 | 3 × 43 × 556043 × 720211 |
| 708 | 22 × 31 × 13185172283 |
| 709 | 18887329 × 3819963467 |
| 710 | 2 × 32 × 5 × 7 × 661 × 137117 |
| 711 | 23609 × 238005629 |
| 712 | 23 × 13 × 103 × 191 |
| 713 | 3 × 17 × 19 × 173 × 678959 × 3227723 × 129877332833 × 6907530635909 |
| 714 | 2 × 11 × 2091671 |
| 715 | 5 × 6221 × 10357 |
| 716 | 22 × 3 |
| 717 | 7 × 8053 |
| 718 | 2 × 139 × 3041 × 2336843 × 424751861 |
| 719 | 34 × 59 × 33599 × 839959 |
| 720 | 24 × 5 × 141529 |
| 721 | 5737 × 4315589 |
| 722 | 2 × 3 |
| 723 | 23 × 151 × 3457 × 6922871057 |
| 724 | 22 × 7 × 70489 × 229408845727 |
| 725 | 3 × 52 × 11 × 13 × 192373 |
| 726 | 2 × 8819 × 2464064599 × 379334219431 |
| 727 | 67 × 1088188303 |
| 728 | 23 × 32 |
| 729 | 73 × 178037 × 384911908266701 (MP) |
| 730 | 2 × 5 × 17 × 29 × 37 |
| 731 | 3 × 72 × 4561 × 38582597093 |
| 732 | 22 × 19 × 12403547309 × 7956237923539 |
| 733 | 541 × 6332603 × 86589337 |
| 734 | 2 × 3 × 57349 |
| 735 | 5 |
| 736 | 25 × 112 × 71 × 2683 × 30029 |
| 737 | 32 × 41 × 83 × 107 × 167 × 123842479 × 212775931 |
| 738 | 2 × 7 × 13 × 79 × 2240002137181 |
| 739 | 31 × 149 × 241 × 158519 × 70180894970309 |
| 740 | 22 × 3 × 5 × 2467 × 4797283 × 58263017 × 16588659301 |
| 741 | 97 × 261271 × 2314836283 |
| 742 | 2 × 113 × 3719 × 734717 × 22657127 × 13971056154983 × 28391506983407 |
| 743 | 3 × 47 × 383069 |
| 744 | 23 × 2311 × 3037 × 14821 × 611512963 |
| 745 | 5 × 7 × 19403 |
| 746 | 2 × 33 × 23 × 61 × 3605473 × 3075307770767 |
| 747 | 11 × 17 |
| 748 | 22 × 900042823 × 32217990709 × 252179248806787 |
| 749 | 3 × 53 × 739 × 1621 × 320417 |
| 750 | 2 × 53 × 43 × 751 × 7717 |
| 751 | 13 × 19 × 142169 × 589529 × 4749223 |
| 752 | 24 × 3 × 7 × 251 × 4283 × 25219 × 25931 |
| 753 | 25524962591 × 32398662691 × 73069065889 |
| 754 | 2 |
| 755 | 32 × 5 × 239 × 350604539 × 780242747 |
| 756 | 22 × 2689 × 12849447617 |
| 757 | 609490439 × 6183291059119 |
| 758 | 2 × 3 × 11 × 349 |
| 759 | 7 × 29 × 493121 |
| 760 | 23 × 5 × 53591 × 13893977 × 571720392851 |
| 761 | 3 × 877 × 5231 × 138349 × 227629 |
| 762 | 2 × 92623 × 38196043 × 140278447 × 2309586087337 |
| 763 | 2098813 |
| 764 | 22 × 32 × 13 × 17 × 311 × 10207682239 |
| 765 | 5 |
| 766 | 2 × 7 × 701 × 138143 × 3049293761 × 4492094759 × 20086248452069 |
| 767 | 3 × 37 × 251323 × 12704882467 × 204004950503 |
| 768 | 28 × 135880907101 |
| 769 | 11 × 23 × 1188293 |
| 770 | 2 × 3 × 5 × 19 × 31 × 257 × 3527 × 28279 |
| 771 | 1762391 × 693294319 |
| 772 | 22 |
| 773 | 33 × 7 × 8161 × 53407 |
| 774 | 2 × 163 × 227 |
| 775 | 52 × 62758949801 |
| 776 | 23 × 3 × 358408487 × 112329153825323 |
| 777 | 13 × 14419302413 |
| 778 | 2 × 41 × 59 |
| 779 | 3 |
| 780 | 22 × 5 × 72 × 11 × 469351 × 45649297 |
| 781 | 17 × 1357333 × 107829804490003 |
| 782 | 2 × 32 × 19045577 |
| 783 | 20682953 × 7225663667 |
| 784 | 24 × 397 × 581573 |
| 785 | 3 × 5 × 89 × 433 × 2782187 × 63265061 × 78923113465507 |
| 786 | 2 × 199 × 18757 × 65712915589 × 1224860642183 |
| 787 | 7 × 21227 |
| 788 | 22 × 3 × 29 |
| 789 | 19 × 22861 × 171799 |
| 790 | 2 × 5 × 13 × 47 × 12281 |
| 791 | 32 × 11 × 911 × 65951 × 173933 |
| 792 | 23 × 23 × 109 × 4491833 |
| 793 | 43 × 569 |
| 794 | 2 × 3 × 7 × 67 × 1297 × 4836037 × 762060041 × 2355338561 |
| 795 | 5 × 127 × 647 × 2029 × 5179 × 7991167 |
| 796 | 22 × 2749 × 28099 × 106441 × 3773249 |
| 797 | 3 × 733 × 518149939 × 1106974829 × 3451983107393 |
| 798 | 2 × 17 × 389 × 5021 × 3593581 |
| 799 | No prime factors known! |
| 800 | 25 × 34 × 52 × 2753 × 1020841 × 11707081 × 440937571 × 39997221117017 × 437618226823171 (AC) |
| 801 | 7 × 31 × 401 × 70621 × 240628379 |
| 802 | 2 × 11 × 53 × 73 × 8171 × 5048003 × 19420992751 |
| 803 | 3 × 13 × 463 |
| 804 | 22 × 37 × 1163 × 2221 × 330821 × 19457899575227 |
| 805 | 5 × 142837 × 19575232021 × 68276939979959 |
| 806 | 2 × 3 × 179 × 1416056549 × 14486899678891 |
| 807 | 612 × 71 × 101 |
| 808 | 23 × 7 × 19 |
| 809 | 32 × 421 × 4722261851 |
| 810 | 2 × 5 × 297280266889 × 709344839023 |
| 811 | 9227565769 × 656874618083 |
| 812 | 22 × 3 × 271 × 14813 × 751087 × 36782188649 |
| 813 | 11 × 2239 × 240017 × 256133231 × 267500957 × 454720762189 |
| 814 | 2 × 7523 |
| 815 | 3 × 5 × 7 × 17 × 23 × 103 × 1693 × 39003567353237 |
| 816 | 24 × 13 × 1549 × 86125458654439 |
| 817 | 29 × 79 × 2577936073 |
| 818 | 2 × 32 × 1675799 × 64817677 |
| 819 | 41 × 223 × 809 × 24953 × 25676999971283 |
| 820 | 22 × 5 × 83 × 313 × 1192648537 |
| 821 | 3 × 137 × 303844891043 |
| 822 | 2 × 7 × 3943 × 1079917 × 4803830443 × 331790051023 |
| 823 | 1301 × 3794587787 |
| 824 | 23 × 3 × 11 |
| 825 | 52 × 1341204607 |
| 826 | 2 × 3664117 × 18896113 × 331405783 |
| 827 | 33 × 19 × 197 × 4442311 |
| 828 | 22 |
| 829 | 73 × 132 × 1099567697 × 2346943283 × 11024962499 × 5332706211743 |
| 830 | 2 × 3 × 5 × 2063 |
| 831 | No prime factors known! |
| 832 | 26 × 172 × 31 × 6079 × 5090149 |
| 833 | 3 × 577 × 7507 |
| 834 | 2 × 384889 |
| 835 | 5 × 11 × 192877 × 375944053123 |
| 836 | 22 × 32 × 7 × 43 × 5432857 |
| 837 | 47 × 59 × 131 × 479 × 86693 × 17448059 × 362613743 |
| 838 | 2 × 23 × 97 × 52067197001993 |
| 839 | 3 × 25741 |
| 840 | 23 × 5 × 18869 |
| 841 | 37 × 33641 × 144173 × 833737 |
| 842 | 2 × 3 × 13 × 230506643 |
| 843 | 7 × 631 × 8699 × 8951 × 72637219 × 6386214513491 |
| 844 | 22 × 107 × 3347 × 9467 × 139901294083 |
| 845 | 32 × 5 × 2903 |
| 846 | 2 × 11 × 19 × 29 × 59260984997 |
| 847 | 1759 |
| 848 | 24 × 3 |
| 849 | 17 × 2203 × 5009 × 137359 × 47728903 |
| 850 | 2 × 52 × 7 × 3067231 × 5332790201 |
| 851 | 3 × 66093277 |
| 852 | 22 × 12366090937397 × 257082918999383 |
| 853 | 157 |
| 854 | 2 × 33 × 6690989 × 13301989 × 221124901 × 217852657513 |
| 855 | 5 × 13 × 53 × 113 × 33299941 × 3854940909493 |
| 856 | 23 × 2658055969 |
| 857 | 3 × 7 × 112 × 139 × 193 |
| 858 | 2 × 233 × 269 × 72493 × 207563 |
| 859 | 211 |
| 860 | 22 × 3 × 5 × 41 × 8663 |
| 861 | 23 × 67 × 7583468947 |
| 862 | 2 × 17179146360059 |
| 863 | 32 × 31 × 1123 × 1723177 × 25266832793 × 1603252060387 |
| 864 | 25 × 7 × 1022383 |
| 865 | 5 × 19 |
| 866 | 2 × 3 × 17 × 181 × 7919 |
| 867 | 7082941 |
| 868 | 22 × 11 × 13 × 61 × 1624359676007 |
| 869 | 3 × 1949 |
| 870 | 2 × 5 × 3923 × 26294500661509 |
| 871 | 7 × 659 × 22093 × 1322430203 × 6907948679 |
| 872 | 23 × 32 × 571 |
| 873 | 3851 × 384509 |
| 874 | 2 × 89 × 151 × 40423 × 1709520559 × 2895727672007 × 11721741260909 |
| 875 | 3 × 53 × 29 × 73 |
| 876 | 22 × 656749 × 376432051 |
| 877 | No prime factors known! |
| 878 | 2 × 3 × 72 × 37 × 71 |
| 879 | 11 × 43 × 74107051 × 202358131 × 2977548424679 |
| 880 | 24 × 5 |
| 881 | 35 × 13 × 1699 × 526063 × 149532906001 × 9475446435757 |
| 882 | 2 × 5651 × 29591123 |
| 883 | 17 × 11832467 × 27608363 × 22601232763 |
| 884 | 22 × 3 × 19 × 23 × 47 × 120287771 |
| 885 | 5 × 7 × 1423 |
| 886 | 2 × 173 × 1747 × 301649 |
| 887 | 3 × 184623836197 |
| 888 | 23 × 149 × 317 × 29017 |
| 889 | 461 |
| 890 | 2 × 32 × 5 × 11 |
| 891 | 13963 × 1376131 |
| 892 | 22 × 7 |
| 893 | 3 |
| 894 | 2 × 13 × 31 × 15958986203 |
| 895 | 5 |
| 896 | 27 × 3 × 59 × 79 × 229 × 206839790323 |
| 897 | 449 × 327151303 × 31646118087293 |
| 898 | 2 × 4814707 × 4707339037 |
| 899 | 32 × 7 × 373 × 827 × 19213 × 79408687 × 2683579791287 |
| 900 | 22 × 52 × 17 × 1249 × 2213 × 22157 × 759113 |
| 901 | 11 × 41 × 109 × 23459 |
| 902 | 2 × 3 × 643 × 13061534686861 |
| 903 | 19 × 83 × 191 × 32569 |
| 904 | 23 × 29 × 167 × 1901 × 50581 × 1228541 × 63788501929 × 1073958196501 |
| 905 | 3 × 5 × 619 × 112223 × 1794762941 × 2028441301 |
| 906 | 2 × 7 × 587 × 103619 |
| 907 | 13 × 23 × 337 × 13567 × 117168796021 |
| 908 | 22 × 33 × 53 × 101 × 45631343 × 979151507 |
| 909 | 17783 × 106661 × 13818285289 |
| 910 | 2 × 5 × 2017 × 160691977 |
| 911 | 3 × 239977 × 59163323 |
| 912 | 24 × 11 × 5821 × 4446509 × 26649481 |
| 913 | 7 × 331 × 3963529 × 2347360633 |
| 914 | 2 × 3 |
| 915 | 5 × 37 × 263 × 2347 × 1716047 × 3743543 × 1564708547 |
| 916 | 22 × 419 × 2563285051 × 25087770150857 |
| 917 | 32 × 17 |
| 918 | 2 × 103 |
| 919 | 1531 × 574597 × 9248111 |
| 920 | 23 × 3 × 5 × 7 × 13 × 9451381 × 1698275417 × 8269562617 |
| 921 | 283 × 845567 × 9121009 |
| 922 | 2 × 19 × 43 × 127 × 43555219 × 247811592967 |
| 923 | 3 × 11 × 16931 × 9444665309 |
| 924 | 22 × 137403239 × 4762047413 |
| 925 | 52 × 31 × 883 × 44089434007 |
| 926 | 2 × 32 × 15061 |
| 927 | 72 × 42649969 × 623464199 |
| 928 | 25 × 67 × 3613 × 24635161 |
| 929 | 3 × 61 × 2647 × 10729 |
| 930 | 2 × 5 × 23 × 38377 × 50172955633 |
| 931 | 47 |
| 932 | 22 × 3 |
| 933 | 13 × 29 × 359 × 3389 × 4217 |
| 934 | 2 × 7 × 11 × 17 × 18859297 |
| 935 | 33 × 5 × 97 × 748004303 |
| 936 | 23 × 6294797 |
| 937 | 163 × 1252446269 |
| 938 | 2 × 3 |
| 939 | 367 × 2927 × 47101532422627 |
| 940 | 22 × 5 × 103576640216783 |
| 941 | 3 × 7 × 19 × 37313389 |
| 942 | 2 × 41 × 1781233 |
| 943 | 7297 |
| 944 | 24 × 32 × 3859783 |
| 945 | 5 × 11 × 1439 × 85632549781 |
| 946 | 2 × 13 × 12433 × 90799321 |
| 947 | 3 × 918583 |
| 948 | 22 × 7 × 73 |
| 949 | 71 × 5039 |
| 950 | 2 × 3 × 52 |
| 951 | 17 × 107 × 101537 |
| 952 | 23 × 37 × 641981 × 80159249 × 1777718351 |
| 953 | 32 × 23 |
| 954 | 2 × 63727 × 79031 × 592414721 |
| 955 | 5 × 7 × 59 |
| 956 | 22 × 3 × 11 × 31 |
| 957 | 97187 |
| 958 | 2 × 137 × 1170131 |
| 959 | 3 × 13 × 281 × 8461 × 2683099 × 9971305153 |
| 960 | 26 × 5 × 19 × 5417 × 32669787558439 |
| 961 | 53 × 22817 × 12050369 |
| 962 | 2 × 34 × 7 × 29 × 725393 × 403254583 |
| 963 | 89 |
| 964 | 22 |
| 965 | 3 × 5 × 43 |
| 966 | 2 |
| 967 | 11 × 293 |
| 968 | 23 × 3 × 17 × 113 × 131 × 1867 × 4682233 |
| 969 | 7 × 1609 × 6660880867 |
| 970 | 2 × 5 × 2333791 × 427220198179829 (AC) |
| 971 | 32 × 787 |
| 972 | 22 × 13 × 277 × 793099 |
| 973 | 4903 |
| 974 | 2 × 3 × 4967 × 8719 × 132611 |
| 975 | 52 × 79 × 20261 |
| 976 | 24 × 72 × 23 × 4507 × 17939179 |
| 977 | 3 × 383 |
| 978 | 2 × 112 × 47 × 457 × 1087 × 49526529203 × 963541443407 |
| 979 | 19 × 15031 × 64019 × 23272103377 |
| 980 | 22 × 32 × 5 × 241 × 443 × 4703 × 64301 × 1845026761 × 15555091604747 |
| 981 | 2887237 × 8806548533 |
| 982 | 2 × 706507 × 194814102120683 |
| 983 | 3 × 7 × 41 × 439 × 1861 × 6508582891 |
| 984 | 23 × 6011 × 2100997 × 16609127 × 44817902939 |
| 985 | 5 × 13 × 17 × 179 × 199 × 5471 × 6101 × 679639 × 6199697125261 |
| 986 | 2 × 3 × 83 × 27073 × 2600300988553 |
| 987 | 31 × 10427 × 159686110741 |
| 988 | 22 × 3109 |
| 989 | 33 × 11 × 37 × 1091 × 24623 × 2530579 × 2412394513 × 6516978779 |
| 990 | 2 × 5 × 7 × 61 × 65147 × 5670266246017 |
| 991 | 29 |
| 992 | 25 × 3 × 1987 × 430449913 × 6002731589 × 74577110579 |
| 993 | 509 × 3271 × 358079 × 591100571 × 72062813321 |
| 994 | 2 × 239 × 40581113 |
| 995 | 3 × 5 × 67 × 3398851 × 180577513 |
| 996 | 22 × 139 |
| 997 | 7 × 3767 × 5176091 × 11674873603 × 17609514283 |
| 998 | 2 × 32 × 133 × 19 × 837077 |
| 999 | 23 × 307 × 2379847348429 |
Number of prime factors
| Digits | Googolplex + 10 | Other numbers |
|---|---|---|
| 1 | 3 | 1898 |
| 2 | 5 | 652 |
| 3 | 4 | 383 |
| 4 | 5 | 308 |
| 5 | 9 | 222 |
| 6 | 19 | 184 |
| 7 | 19 | 161 |
| 8 | 32 | 141 |
| 9 | 39 | 118 |
| 10 | 50 | 114 |
| 11 | 63 | 96 |
| 12 | 84 | 94 |
| 13 | 124 | 89 |
| 14 | 145 | 80 |
| 15 | 78 | 36 |
Number of factors known up to different powers of 10
| Factors | 101 | 102 | 103 | 104 | 105 | 106 | 107 | 108 | 109 | 1010 | 1011 | 1012 | 1013 | 1014 | Bound |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 230 | 117 | 80 | 63 | 46 | 41 | 34 | 29 | 26 | 22 | 18 | 17 | 15 | 15 | 15 |
| 1 | 266 | 227 | 189 | 150 | 134 | 119 | 107 | 100 | 92 | 84 | 81 | 77 | 72 | 68 | 68 |
| 2 | 206 | 218 | 212 | 206 | 203 | 176 | 164 | 153 | 149 | 146 | 142 | 139 | 136 | 123 | 118 |
| 3 | 132 | 176 | 194 | 203 | 188 | 198 | 201 | 206 | 191 | 187 | 176 | 163 | 163 | 168 | 164 |
| 4 | 80 | 100 | 105 | 126 | 152 | 160 | 164 | 157 | 168 | 172 | 178 | 180 | 172 | 170 | 169 |
| 5 | 40 | 82 | 108 | 103 | 102 | 113 | 113 | 116 | 127 | 124 | 132 | 140 | 147 | 151 | 152 |
| 6 | 23 | 37 | 54 | 60 | 76 | 86 | 96 | 104 | 95 | 104 | 103 | 101 | 106 | 103 | 112 |
| 7 | 9 | 19 | 25 | 46 | 50 | 47 | 51 | 53 | 62 | 60 | 63 | 70 | 65 | 74 | 72 |
| 8 | 9 | 10 | 16 | 21 | 20 | 25 | 34 | 41 | 45 | 52 | 54 | 54 | 58 | 61 | 62 |
| 9 | 1 | 8 | 6 | 8 | 10 | 15 | 16 | 19 | 22 | 22 | 24 | 29 | 33 | 32 | 33 |
| 10 | 0 | 2 | 3 | 5 | 8 | 8 | 6 | 8 | 9 | 12 | 12 | 13 | 14 | 14 | 14 |
| 11 | 2 | 2 | 5 | 5 | 5 | 5 | 7 | 5 | 4 | 5 | 6 | 5 | 6 | 8 | 8 |
| 12 | 0 | 0 | 1 | 2 | 2 | 3 | 2 | 4 | 5 | 4 | 2 | 3 | 3 | 3 | 3 |
| 13 | 0 | 0 | 0 | 0 | 2 | 2 | 3 | 2 | 2 | 2 | 4 | 4 | 5 | 5 | 5 |
| 14 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 2 | 0 | 0 | 0 | 0 |
| 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 3 | 3 | 2 | 2 |
| 16 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |
You can download the program (source and Windows executable code) I wrote in order to factor these numbers. If you want to extend the table, I appreciate that you download the code and then run it in a Windows command line as:
GOOGOL starting_number
This version supports numbers up to 16 × 1014.
The output file is named cccc. It contains the starting number and the factors as a series of lines where each line contains a value n that corresponds to the value googolplex - n and the prime divisor.
You can stop the program by pressing the key Esc. Please copy its contents (if you found factor(s)) in this form.
You will be credited for your discovery.
Last updated on May 5th, 2019.