Datasets:
yimingzhang
/
prime-factorization

Dataset card Data Studio Files
xet
Community
input
stringlengths
3
7
output
stringlengths
3
41
step_by_step_solution
listlengths
1
21
2491879
13 103 1861
[ "2491879 13 191683", "191683 103 1861", "1861 1861 1" ]
339775
5 5 13591
[ "339775 5 67955", "67955 5 13591", "13591 13591 1" ]
4069909
1327 3067
[ "4069909 1327 3067", "3067 3067 1" ]
3816539
3816539
[ "3816539 3816539 1" ]
1997280
2 2 2 2 2 3 3 5 19 73
[ "1997280 2 998640", "998640 2 499320", "499320 2 249660", "249660 2 124830", "124830 2 62415", "62415 3 20805", "20805 3 6935", "6935 5 1387", "1387 19 73", "73 73 1" ]
1161119
103 11273
[ "1161119 103 11273", "11273 11273 1" ]
2933968
2 2 2 2 183373
[ "2933968 2 1466984", "1466984 2 733492", "733492 2 366746", "366746 2 183373", "183373 183373 1" ]
1141839
3 3 17 17 439
[ "1141839 3 380613", "380613 3 126871", "126871 17 7463", "7463 17 439", "439 439 1" ]
2290864
2 2 2 2 67 2137
[ "2290864 2 1145432", "1145432 2 572716", "572716 2 286358", "286358 2 143179", "143179 67 2137", "2137 2137 1" ]
4912448
2 2 2 2 2 2 76757
[ "4912448 2 2456224", "2456224 2 1228112", "1228112 2 614056", "614056 2 307028", "307028 2 153514", "153514 2 76757", "76757 76757 1" ]
1859983
1859983
[ "1859983 1859983 1" ]
1713121
1713121
[ "1713121 1713121 1" ]
3873081
3 53 24359
[ "3873081 3 1291027", "1291027 53 24359", "24359 24359 1" ]
2368944
2 2 2 2 3 3 16451
[ "2368944 2 1184472", "1184472 2 592236", "592236 2 296118", "296118 2 148059", "148059 3 49353", "49353 3 16451", "16451 16451 1" ]
2595043
11 269 877
[ "2595043 11 235913", "235913 269 877", "877 877 1" ]
3105225
3 3 5 5 37 373
[ "3105225 3 1035075", "1035075 3 345025", "345025 5 69005", "69005 5 13801", "13801 37 373", "373 373 1" ]
4314306
2 3 53 13567
[ "4314306 2 2157153", "2157153 3 719051", "719051 53 13567", "13567 13567 1" ]
1993301
17 37 3169
[ "1993301 17 117253", "117253 37 3169", "3169 3169 1" ]
2193400
2 2 2 5 5 11 997
[ "2193400 2 1096700", "1096700 2 548350", "548350 2 274175", "274175 5 54835", "54835 5 10967", "10967 11 997", "997 997 1" ]
380170
2 5 7 5431
[ "380170 2 190085", "190085 5 38017", "38017 7 5431", "5431 5431 1" ]
2499364
2 2 7 23 3881
[ "2499364 2 1249682", "1249682 2 624841", "624841 7 89263", "89263 23 3881", "3881 3881 1" ]
1689929
1689929
[ "1689929 1689929 1" ]
1815150
2 3 5 5 12101
[ "1815150 2 907575", "907575 3 302525", "302525 5 60505", "60505 5 12101", "12101 12101 1" ]
3538416
2 2 2 2 3 7 10531
[ "3538416 2 1769208", "1769208 2 884604", "884604 2 442302", "442302 2 221151", "221151 3 73717", "73717 7 10531", "10531 10531 1" ]
2460911
29 84859
[ "2460911 29 84859", "84859 84859 1" ]
468000
2 2 2 2 2 3 3 5 5 5 13
[ "468000 2 234000", "234000 2 117000", "117000 2 58500", "58500 2 29250", "29250 2 14625", "14625 3 4875", "4875 3 1625", "1625 5 325", "325 5 65", "65 5 13", "13 13 1" ]
3040796
2 2 11 69109
[ "3040796 2 1520398", "1520398 2 760199", "760199 11 69109", "69109 69109 1" ]
2028827
67 107 283
[ "2028827 67 30281", "30281 107 283", "283 283 1" ]
2524219
2524219
[ "2524219 2524219 1" ]
2382176
2 2 2 2 2 17 29 151
[ "2382176 2 1191088", "1191088 2 595544", "595544 2 297772", "297772 2 148886", "148886 2 74443", "74443 17 4379", "4379 29 151", "151 151 1" ]
3584364
2 2 3 7 71 601
[ "3584364 2 1792182", "1792182 2 896091", "896091 3 298697", "298697 7 42671", "42671 71 601", "601 601 1" ]
2918133
3 3 3 108079
[ "2918133 3 972711", "972711 3 324237", "324237 3 108079", "108079 108079 1" ]
867192
2 2 2 3 23 1571
[ "867192 2 433596", "433596 2 216798", "216798 2 108399", "108399 3 36133", "36133 23 1571", "1571 1571 1" ]
2057401
2057401
[ "2057401 2057401 1" ]
3062690
2 5 29 59 179
[ "3062690 2 1531345", "1531345 5 306269", "306269 29 10561", "10561 59 179", "179 179 1" ]
130214
2 7 71 131
[ "130214 2 65107", "65107 7 9301", "9301 71 131", "131 131 1" ]
2044363
2044363
[ "2044363 2044363 1" ]
2412477
3 3 3 199 449
[ "2412477 3 804159", "804159 3 268053", "268053 3 89351", "89351 199 449", "449 449 1" ]
286852
2 2 71713
[ "286852 2 143426", "143426 2 71713", "71713 71713 1" ]
2885796
2 2 3 3 19 4219
[ "2885796 2 1442898", "1442898 2 721449", "721449 3 240483", "240483 3 80161", "80161 19 4219", "4219 4219 1" ]
2788480
2 2 2 2 2 2 2 5 4357
[ "2788480 2 1394240", "1394240 2 697120", "697120 2 348560", "348560 2 174280", "174280 2 87140", "87140 2 43570", "43570 2 21785", "21785 5 4357", "4357 4357 1" ]
3604486
2 293 6151
[ "3604486 2 1802243", "1802243 293 6151", "6151 6151 1" ]
90440
2 2 2 5 7 17 19
[ "90440 2 45220", "45220 2 22610", "22610 2 11305", "11305 5 2261", "2261 7 323", "323 17 19", "19 19 1" ]
4552398
2 3 3 252911
[ "4552398 2 2276199", "2276199 3 758733", "758733 3 252911", "252911 252911 1" ]
1070876
2 2 267719
[ "1070876 2 535438", "535438 2 267719", "267719 267719 1" ]
413032
2 2 2 17 3037
[ "413032 2 206516", "206516 2 103258", "103258 2 51629", "51629 17 3037", "3037 3037 1" ]
2047448
2 2 2 13 19687
[ "2047448 2 1023724", "1023724 2 511862", "511862 2 255931", "255931 13 19687", "19687 19687 1" ]
973037
13 29 29 89
[ "973037 13 74849", "74849 29 2581", "2581 29 89", "89 89 1" ]
3041483
197 15439
[ "3041483 197 15439", "15439 15439 1" ]
2559137
7 365591
[ "2559137 7 365591", "365591 365591 1" ]
4667514
2 3 777919
[ "4667514 2 2333757", "2333757 3 777919", "777919 777919 1" ]
936626
2 43 10891
[ "936626 2 468313", "468313 43 10891", "10891 10891 1" ]
2734363
131 20873
[ "2734363 131 20873", "20873 20873 1" ]
337697
337697
[ "337697 337697 1" ]
4892072
2 2 2 67 9127
[ "4892072 2 2446036", "2446036 2 1223018", "1223018 2 611509", "611509 67 9127", "9127 9127 1" ]
2908161
3 3 311 1039
[ "2908161 3 969387", "969387 3 323129", "323129 311 1039", "1039 1039 1" ]
3474229
11 29 10891
[ "3474229 11 315839", "315839 29 10891", "10891 10891 1" ]
2089067
23 61 1489
[ "2089067 23 90829", "90829 61 1489", "1489 1489 1" ]
1210556
2 2 67 4517
[ "1210556 2 605278", "605278 2 302639", "302639 67 4517", "4517 4517 1" ]
3950665
5 61 12953
[ "3950665 5 790133", "790133 61 12953", "12953 12953 1" ]
591178
2 7 42227
[ "591178 2 295589", "295589 7 42227", "42227 42227 1" ]
1791390
2 3 5 211 283
[ "1791390 2 895695", "895695 3 298565", "298565 5 59713", "59713 211 283", "283 283 1" ]
4976922
2 3 29 28603
[ "4976922 2 2488461", "2488461 3 829487", "829487 29 28603", "28603 28603 1" ]
3323075
5 5 7 17 1117
[ "3323075 5 664615", "664615 5 132923", "132923 7 18989", "18989 17 1117", "1117 1117 1" ]
2952991
2952991
[ "2952991 2952991 1" ]
1888210
2 5 31 6091
[ "1888210 2 944105", "944105 5 188821", "188821 31 6091", "6091 6091 1" ]
2694786
2 3 449131
[ "2694786 2 1347393", "1347393 3 449131", "449131 449131 1" ]
2041636
2 2 41 59 211
[ "2041636 2 1020818", "1020818 2 510409", "510409 41 12449", "12449 59 211", "211 211 1" ]
4635074
2 569 4073
[ "4635074 2 2317537", "2317537 569 4073", "4073 4073 1" ]
44172
2 2 3 3 3 409
[ "44172 2 22086", "22086 2 11043", "11043 3 3681", "3681 3 1227", "1227 3 409", "409 409 1" ]
4317212
2 2 67 89 181
[ "4317212 2 2158606", "2158606 2 1079303", "1079303 67 16109", "16109 89 181", "181 181 1" ]
2050992
2 2 2 2 3 3 14243
[ "2050992 2 1025496", "1025496 2 512748", "512748 2 256374", "256374 2 128187", "128187 3 42729", "42729 3 14243", "14243 14243 1" ]
3790315
5 47 127 127
[ "3790315 5 758063", "758063 47 16129", "16129 127 127", "127 127 1" ]
433125
3 3 5 5 5 5 7 11
[ "433125 3 144375", "144375 3 48125", "48125 5 9625", "9625 5 1925", "1925 5 385", "385 5 77", "77 7 11", "11 11 1" ]
1397722
2 479 1459
[ "1397722 2 698861", "698861 479 1459", "1459 1459 1" ]
4814861
73 65957
[ "4814861 73 65957", "65957 65957 1" ]
3348900
2 2 3 3 5 5 61 61
[ "3348900 2 1674450", "1674450 2 837225", "837225 3 279075", "279075 3 93025", "93025 5 18605", "18605 5 3721", "3721 61 61", "61 61 1" ]
1189990
2 5 127 937
[ "1189990 2 594995", "594995 5 118999", "118999 127 937", "937 937 1" ]
1549618
2 7 17 17 383
[ "1549618 2 774809", "774809 7 110687", "110687 17 6511", "6511 17 383", "383 383 1" ]
1760645
5 31 37 307
[ "1760645 5 352129", "352129 31 11359", "11359 37 307", "307 307 1" ]
4576538
2 1483 1543
[ "4576538 2 2288269", "2288269 1483 1543", "1543 1543 1" ]
867859
23 97 389
[ "867859 23 37733", "37733 97 389", "389 389 1" ]
3983201
3983201
[ "3983201 3983201 1" ]
4137878
2 2068939
[ "4137878 2 2068939", "2068939 2068939 1" ]
2011308
2 2 3 13 12893
[ "2011308 2 1005654", "1005654 2 502827", "502827 3 167609", "167609 13 12893", "12893 12893 1" ]
2451272
2 2 2 131 2339
[ "2451272 2 1225636", "1225636 2 612818", "612818 2 306409", "306409 131 2339", "2339 2339 1" ]
1518414
2 3 23 11003
[ "1518414 2 759207", "759207 3 253069", "253069 23 11003", "11003 11003 1" ]
1881169
17 239 463
[ "1881169 17 110657", "110657 239 463", "463 463 1" ]
2771917
1069 2593
[ "2771917 1069 2593", "2593 2593 1" ]
2721560
2 2 2 5 19 3581
[ "2721560 2 1360780", "1360780 2 680390", "680390 2 340195", "340195 5 68039", "68039 19 3581", "3581 3581 1" ]
44145
3 3 3 3 5 109
[ "44145 3 14715", "14715 3 4905", "4905 3 1635", "1635 3 545", "545 5 109", "109 109 1" ]
1545433
1545433
[ "1545433 1545433 1" ]
1875276
2 2 3 3 13 4007
[ "1875276 2 937638", "937638 2 468819", "468819 3 156273", "156273 3 52091", "52091 13 4007", "4007 4007 1" ]
4590658
2 2295329
[ "4590658 2 2295329", "2295329 2295329 1" ]
2746636
2 2 83 8273
[ "2746636 2 1373318", "1373318 2 686659", "686659 83 8273", "8273 8273 1" ]
4002021
3 3 3 17 8719
[ "4002021 3 1334007", "1334007 3 444669", "444669 3 148223", "148223 17 8719", "8719 8719 1" ]
2367131
13 17 10711
[ "2367131 13 182087", "182087 17 10711", "10711 10711 1" ]
1729657
241 7177
[ "1729657 241 7177", "7177 7177 1" ]
4858550
2 5 5 97171
[ "4858550 2 2429275", "2429275 5 485855", "485855 5 97171", "97171 97171 1" ]
4977916
2 2 1244479
[ "4977916 2 2488958", "2488958 2 1244479", "1244479 1244479 1" ]