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
1564134
2 3 11 13 1823
[ "1564134 2 782067", "782067 3 260689", "260689 11 23699", "23699 13 1823", "1823 1823 1" ]
4279234
2 197 10861
[ "4279234 2 2139617", "2139617 197 10861", "10861 10861 1" ]
4365669
3 7 11 18899
[ "4365669 3 1455223", "1455223 7 207889", "207889 11 18899", "18899 18899 1" ]
4909178
2 29 53 1597
[ "4909178 2 2454589", "2454589 29 84641", "84641 53 1597", "1597 1597 1" ]
3756919
1669 2251
[ "3756919 1669 2251", "2251 2251 1" ]
3556958
2 37 71 677
[ "3556958 2 1778479", "1778479 37 48067", "48067 71 677", "677 677 1" ]
1871682
2 3 37 8431
[ "1871682 2 935841", "935841 3 311947", "311947 37 8431", "8431 8431 1" ]
2634797
11 239527
[ "2634797 11 239527", "239527 239527 1" ]
400950
2 3 3 3 3 3 3 5 5 11
[ "400950 2 200475", "200475 3 66825", "66825 3 22275", "22275 3 7425", "7425 3 2475", "2475 3 825", "825 3 275", "275 5 55", "55 5 11", "11 11 1" ]
4028693
4028693
[ "4028693 4028693 1" ]
1222845
3 5 13 6271
[ "1222845 3 407615", "407615 5 81523", "81523 13 6271", "6271 6271 1" ]
3917915
5 487 1609
[ "3917915 5 783583", "783583 487 1609", "1609 1609 1" ]
3920168
2 2 2 7 70003
[ "3920168 2 1960084", "1960084 2 980042", "980042 2 490021", "490021 7 70003", "70003 70003 1" ]
1933433
1933433
[ "1933433 1933433 1" ]
2922190
2 5 73 4003
[ "2922190 2 1461095", "1461095 5 292219", "292219 73 4003", "4003 4003 1" ]
1485553
19 41 1907
[ "1485553 19 78187", "78187 41 1907", "1907 1907 1" ]
3583388
2 2 367 2441
[ "3583388 2 1791694", "1791694 2 895847", "895847 367 2441", "2441 2441 1" ]
1344556
2 2 29 67 173
[ "1344556 2 672278", "672278 2 336139", "336139 29 11591", "11591 67 173", "173 173 1" ]
3313462
2 149 11119
[ "3313462 2 1656731", "1656731 149 11119", "11119 11119 1" ]
604659
3 11 73 251
[ "604659 3 201553", "201553 11 18323", "18323 73 251", "251 251 1" ]
4600953
3 3 7 7 10433
[ "4600953 3 1533651", "1533651 3 511217", "511217 7 73031", "73031 7 10433", "10433 10433 1" ]
2775616
2 2 2 2 2 2 31 1399
[ "2775616 2 1387808", "1387808 2 693904", "693904 2 346952", "346952 2 173476", "173476 2 86738", "86738 2 43369", "43369 31 1399", "1399 1399 1" ]
3971564
2 2 992891
[ "3971564 2 1985782", "1985782 2 992891", "992891 992891 1" ]
1096029
3 3 11 11071
[ "1096029 3 365343", "365343 3 121781", "121781 11 11071", "11071 11071 1" ]
3811984
2 2 2 2 11 11 11 179
[ "3811984 2 1905992", "1905992 2 952996", "952996 2 476498", "476498 2 238249", "238249 11 21659", "21659 11 1969", "1969 11 179", "179 179 1" ]
2198655
3 3 5 48859
[ "2198655 3 732885", "732885 3 244295", "244295 5 48859", "48859 48859 1" ]
4192490
2 5 419249
[ "4192490 2 2096245", "2096245 5 419249", "419249 419249 1" ]
1212794
2 11 55127
[ "1212794 2 606397", "606397 11 55127", "55127 55127 1" ]
1584537
3 271 1949
[ "1584537 3 528179", "528179 271 1949", "1949 1949 1" ]
2758195
5 11 11 47 97
[ "2758195 5 551639", "551639 11 50149", "50149 11 4559", "4559 47 97", "97 97 1" ]
4152367
827 5021
[ "4152367 827 5021", "5021 5021 1" ]
4128812
2 2 241 4283
[ "4128812 2 2064406", "2064406 2 1032203", "1032203 241 4283", "4283 4283 1" ]
4797644
2 2 29 59 701
[ "4797644 2 2398822", "2398822 2 1199411", "1199411 29 41359", "41359 59 701", "701 701 1" ]
1991903
19 41 2557
[ "1991903 19 104837", "104837 41 2557", "2557 2557 1" ]
1311402
2 3 127 1721
[ "1311402 2 655701", "655701 3 218567", "218567 127 1721", "1721 1721 1" ]
2051409
3 47 14549
[ "2051409 3 683803", "683803 47 14549", "14549 14549 1" ]
4322439
3 3 11 43661
[ "4322439 3 1440813", "1440813 3 480271", "480271 11 43661", "43661 43661 1" ]
1445434
2 313 2309
[ "1445434 2 722717", "722717 313 2309", "2309 2309 1" ]
674861
11 19 3229
[ "674861 11 61351", "61351 19 3229", "3229 3229 1" ]
1065760
2 2 2 2 2 5 6661
[ "1065760 2 532880", "532880 2 266440", "266440 2 133220", "133220 2 66610", "66610 2 33305", "33305 5 6661", "6661 6661 1" ]
4049397
3 3 11 40903
[ "4049397 3 1349799", "1349799 3 449933", "449933 11 40903", "40903 40903 1" ]
3818818
2 1909409
[ "3818818 2 1909409", "1909409 1909409 1" ]
2768323
2768323
[ "2768323 2768323 1" ]
783185
5 13 12049
[ "783185 5 156637", "156637 13 12049", "12049 12049 1" ]
2294603
313 7331
[ "2294603 313 7331", "7331 7331 1" ]
1667015
5 7 47629
[ "1667015 5 333403", "333403 7 47629", "47629 47629 1" ]
3942500
2 2 5 5 5 5 19 83
[ "3942500 2 1971250", "1971250 2 985625", "985625 5 197125", "197125 5 39425", "39425 5 7885", "7885 5 1577", "1577 19 83", "83 83 1" ]
3036888
2 2 2 3 3 42179
[ "3036888 2 1518444", "1518444 2 759222", "759222 2 379611", "379611 3 126537", "126537 3 42179", "42179 42179 1" ]
2548038
2 3 331 1283
[ "2548038 2 1274019", "1274019 3 424673", "424673 331 1283", "1283 1283 1" ]
1583423
149 10627
[ "1583423 149 10627", "10627 10627 1" ]
2816743
571 4933
[ "2816743 571 4933", "4933 4933 1" ]
2483169
3 13 63671
[ "2483169 3 827723", "827723 13 63671", "63671 63671 1" ]
2427445
5 29 16741
[ "2427445 5 485489", "485489 29 16741", "16741 16741 1" ]
4399747
11 61 79 83
[ "4399747 11 399977", "399977 61 6557", "6557 79 83", "83 83 1" ]
826357
7 118051
[ "826357 7 118051", "118051 118051 1" ]
1119711
3 251 1487
[ "1119711 3 373237", "373237 251 1487", "1487 1487 1" ]
4612635
3 3 5 102503
[ "4612635 3 1537545", "1537545 3 512515", "512515 5 102503", "102503 102503 1" ]
976463
17 71 809
[ "976463 17 57439", "57439 71 809", "809 809 1" ]
1558277
7 31 43 167
[ "1558277 7 222611", "222611 31 7181", "7181 43 167", "167 167 1" ]
178928
2 2 2 2 53 211
[ "178928 2 89464", "89464 2 44732", "44732 2 22366", "22366 2 11183", "11183 53 211", "211 211 1" ]
3257905
5 7 93083
[ "3257905 5 651581", "651581 7 93083", "93083 93083 1" ]
3222875
5 5 5 19 23 59
[ "3222875 5 644575", "644575 5 128915", "128915 5 25783", "25783 19 1357", "1357 23 59", "59 59 1" ]
4910700
2 2 3 5 5 16369
[ "4910700 2 2455350", "2455350 2 1227675", "1227675 3 409225", "409225 5 81845", "81845 5 16369", "16369 16369 1" ]
2959462
2 11 17 41 193
[ "2959462 2 1479731", "1479731 11 134521", "134521 17 7913", "7913 41 193", "193 193 1" ]
2829060
2 2 3 3 3 5 13 13 31
[ "2829060 2 1414530", "1414530 2 707265", "707265 3 235755", "235755 3 78585", "78585 3 26195", "26195 5 5239", "5239 13 403", "403 13 31", "31 31 1" ]
938762
2 11 71 601
[ "938762 2 469381", "469381 11 42671", "42671 71 601", "601 601 1" ]
4891091
4891091
[ "4891091 4891091 1" ]
3685396
2 2 11 13 17 379
[ "3685396 2 1842698", "1842698 2 921349", "921349 11 83759", "83759 13 6443", "6443 17 379", "379 379 1" ]
1406394
2 3 3 11 7103
[ "1406394 2 703197", "703197 3 234399", "234399 3 78133", "78133 11 7103", "7103 7103 1" ]
4843787
13 409 911
[ "4843787 13 372599", "372599 409 911", "911 911 1" ]
343165
5 68633
[ "343165 5 68633", "68633 68633 1" ]
1287890
2 5 29 4441
[ "1287890 2 643945", "643945 5 128789", "128789 29 4441", "4441 4441 1" ]
3239466
2 3 53 61 167
[ "3239466 2 1619733", "1619733 3 539911", "539911 53 10187", "10187 61 167", "167 167 1" ]
289269
3 3 32141
[ "289269 3 96423", "96423 3 32141", "32141 32141 1" ]
3260612
2 2 887 919
[ "3260612 2 1630306", "1630306 2 815153", "815153 887 919", "919 919 1" ]
1540994
2 7 13 8467
[ "1540994 2 770497", "770497 7 110071", "110071 13 8467", "8467 8467 1" ]
1297680
2 2 2 2 3 5 5407
[ "1297680 2 648840", "648840 2 324420", "324420 2 162210", "162210 2 81105", "81105 3 27035", "27035 5 5407", "5407 5407 1" ]
2237212
2 2 19 29437
[ "2237212 2 1118606", "1118606 2 559303", "559303 19 29437", "29437 29437 1" ]
750418
2 375209
[ "750418 2 375209", "375209 375209 1" ]
4813939
13 367 1009
[ "4813939 13 370303", "370303 367 1009", "1009 1009 1" ]
3323066
2 67 24799
[ "3323066 2 1661533", "1661533 67 24799", "24799 24799 1" ]
730191
3 7 11 29 109
[ "730191 3 243397", "243397 7 34771", "34771 11 3161", "3161 29 109", "109 109 1" ]
3379665
3 5 233 967
[ "3379665 3 1126555", "1126555 5 225311", "225311 233 967", "967 967 1" ]
1259899
1259899
[ "1259899 1259899 1" ]
2746531
67 40993
[ "2746531 67 40993", "40993 40993 1" ]
3066413
7 103 4253
[ "3066413 7 438059", "438059 103 4253", "4253 4253 1" ]
1623469
257 6317
[ "1623469 257 6317", "6317 6317 1" ]
337682
2 109 1549
[ "337682 2 168841", "168841 109 1549", "1549 1549 1" ]
33490
2 5 17 197
[ "33490 2 16745", "16745 5 3349", "3349 17 197", "197 197 1" ]
505054
2 11 11 2087
[ "505054 2 252527", "252527 11 22957", "22957 11 2087", "2087 2087 1" ]
2462049
3 3 3 67 1361
[ "2462049 3 820683", "820683 3 273561", "273561 3 91187", "91187 67 1361", "1361 1361 1" ]
521072
2 2 2 2 29 1123
[ "521072 2 260536", "260536 2 130268", "130268 2 65134", "65134 2 32567", "32567 29 1123", "1123 1123 1" ]
3564130
2 5 41 8693
[ "3564130 2 1782065", "1782065 5 356413", "356413 41 8693", "8693 8693 1" ]
4341736
2 2 2 7 31 41 61
[ "4341736 2 2170868", "2170868 2 1085434", "1085434 2 542717", "542717 7 77531", "77531 31 2501", "2501 41 61", "61 61 1" ]
2037081
3 769 883
[ "2037081 3 679027", "679027 769 883", "883 883 1" ]
1975076
2 2 43 11483
[ "1975076 2 987538", "987538 2 493769", "493769 43 11483", "11483 11483 1" ]
4701582
2 3 3 269 971
[ "4701582 2 2350791", "2350791 3 783597", "783597 3 261199", "261199 269 971", "971 971 1" ]
1132044
2 2 3 29 3253
[ "1132044 2 566022", "566022 2 283011", "283011 3 94337", "94337 29 3253", "3253 3253 1" ]
2533975
5 5 101359
[ "2533975 5 506795", "506795 5 101359", "101359 101359 1" ]
55209
3 7 11 239
[ "55209 3 18403", "18403 7 2629", "2629 11 239", "239 239 1" ]