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
35264
2 2 2 2 2 2 19 29
[ "35264 2 17632", "17632 2 8816", "8816 2 4408", "4408 2 2204", "2204 2 1102", "1102 2 551", "551 19 29", "29 29 1" ]
3016403
13 331 701
[ "3016403 13 232031", "232031 331 701", "701 701 1" ]
4542240
2 2 2 2 2 3 5 9463
[ "4542240 2 2271120", "2271120 2 1135560", "1135560 2 567780", "567780 2 283890", "283890 2 141945", "141945 3 47315", "47315 5 9463", "9463 9463 1" ]
4550389
23 43 43 107
[ "4550389 23 197843", "197843 43 4601", "4601 43 107", "107 107 1" ]
3730869
3 3 257 1613
[ "3730869 3 1243623", "1243623 3 414541", "414541 257 1613", "1613 1613 1" ]
3830392
2 2 2 521 919
[ "3830392 2 1915196", "1915196 2 957598", "957598 2 478799", "478799 521 919", "919 919 1" ]
419283
3 3 3 53 293
[ "419283 3 139761", "139761 3 46587", "46587 3 15529", "15529 53 293", "293 293 1" ]
1071605
5 107 2003
[ "1071605 5 214321", "214321 107 2003", "2003 2003 1" ]
2353064
2 2 2 7 42019
[ "2353064 2 1176532", "1176532 2 588266", "588266 2 294133", "294133 7 42019", "42019 42019 1" ]
879750
2 3 3 5 5 5 17 23
[ "879750 2 439875", "439875 3 146625", "146625 3 48875", "48875 5 9775", "9775 5 1955", "1955 5 391", "391 17 23", "23 23 1" ]
3144516
2 2 3 31 79 107
[ "3144516 2 1572258", "1572258 2 786129", "786129 3 262043", "262043 31 8453", "8453 79 107", "107 107 1" ]
1080408
2 2 2 3 7 59 109
[ "1080408 2 540204", "540204 2 270102", "270102 2 135051", "135051 3 45017", "45017 7 6431", "6431 59 109", "109 109 1" ]
1051132
2 2 262783
[ "1051132 2 525566", "525566 2 262783", "262783 262783 1" ]
1233120
2 2 2 2 2 3 5 7 367
[ "1233120 2 616560", "616560 2 308280", "308280 2 154140", "154140 2 77070", "77070 2 38535", "38535 3 12845", "12845 5 2569", "2569 7 367", "367 367 1" ]
1913023
7 273289
[ "1913023 7 273289", "273289 273289 1" ]
1982742
2 3 47 79 89
[ "1982742 2 991371", "991371 3 330457", "330457 47 7031", "7031 79 89", "89 89 1" ]
1481004
2 2 3 3 3 3 7 653
[ "1481004 2 740502", "740502 2 370251", "370251 3 123417", "123417 3 41139", "41139 3 13713", "13713 3 4571", "4571 7 653", "653 653 1" ]
3940543
19 157 1321
[ "3940543 19 207397", "207397 157 1321", "1321 1321 1" ]
3947304
2 2 2 3 164471
[ "3947304 2 1973652", "1973652 2 986826", "986826 2 493413", "493413 3 164471", "164471 164471 1" ]
953840
2 2 2 2 5 11923
[ "953840 2 476920", "476920 2 238460", "238460 2 119230", "119230 2 59615", "59615 5 11923", "11923 11923 1" ]
3409443
3 3 29 13063
[ "3409443 3 1136481", "1136481 3 378827", "378827 29 13063", "13063 13063 1" ]
2045302
2 7 146093
[ "2045302 2 1022651", "1022651 7 146093", "146093 146093 1" ]
2337287
41 109 523
[ "2337287 41 57007", "57007 109 523", "523 523 1" ]
4146731
19 218249
[ "4146731 19 218249", "218249 218249 1" ]
532392
2 2 2 3 7 3169
[ "532392 2 266196", "266196 2 133098", "133098 2 66549", "66549 3 22183", "22183 7 3169", "3169 3169 1" ]
4606662
2 3 31 24767
[ "4606662 2 2303331", "2303331 3 767777", "767777 31 24767", "24767 24767 1" ]
813835
5 11 14797
[ "813835 5 162767", "162767 11 14797", "14797 14797 1" ]
3579639
3 7 17 37 271
[ "3579639 3 1193213", "1193213 7 170459", "170459 17 10027", "10027 37 271", "271 271 1" ]
931930
2 5 41 2273
[ "931930 2 465965", "465965 5 93193", "93193 41 2273", "2273 2273 1" ]
581
7 83
[ "581 7 83", "83 83 1" ]
3356866
2 29 31 1867
[ "3356866 2 1678433", "1678433 29 57877", "57877 31 1867", "1867 1867 1" ]
2666776
2 2 2 7 7 6803
[ "2666776 2 1333388", "1333388 2 666694", "666694 2 333347", "333347 7 47621", "47621 7 6803", "6803 6803 1" ]
455629
457 997
[ "455629 457 997", "997 997 1" ]
3075063
3 1025021
[ "3075063 3 1025021", "1025021 1025021 1" ]
2859343
2859343
[ "2859343 2859343 1" ]
799370
2 5 11 13 13 43
[ "799370 2 399685", "399685 5 79937", "79937 11 7267", "7267 13 559", "559 13 43", "43 43 1" ]
814782
2 3 229 593
[ "814782 2 407391", "407391 3 135797", "135797 229 593", "593 593 1" ]
2436398
2 1218199
[ "2436398 2 1218199", "1218199 1218199 1" ]
3683597
3683597
[ "3683597 3683597 1" ]
1443903
3 481301
[ "1443903 3 481301", "481301 481301 1" ]
4158281
29 223 643
[ "4158281 29 143389", "143389 223 643", "643 643 1" ]
1024391
1024391
[ "1024391 1024391 1" ]
3256340
2 2 5 23 7079
[ "3256340 2 1628170", "1628170 2 814085", "814085 5 162817", "162817 23 7079", "7079 7079 1" ]
4202701
31 135571
[ "4202701 31 135571", "135571 135571 1" ]
2257250
2 5 5 5 9029
[ "2257250 2 1128625", "1128625 5 225725", "225725 5 45145", "45145 5 9029", "9029 9029 1" ]
2620792
2 2 2 327599
[ "2620792 2 1310396", "1310396 2 655198", "655198 2 327599", "327599 327599 1" ]
87716
2 2 21929
[ "87716 2 43858", "43858 2 21929", "21929 21929 1" ]
1911095
5 311 1229
[ "1911095 5 382219", "382219 311 1229", "1229 1229 1" ]
3851145
3 3 3 3 5 37 257
[ "3851145 3 1283715", "1283715 3 427905", "427905 3 142635", "142635 3 47545", "47545 5 9509", "9509 37 257", "257 257 1" ]
3948356
2 2 987089
[ "3948356 2 1974178", "1974178 2 987089", "987089 987089 1" ]
2283856
2 2 2 2 349 409
[ "2283856 2 1141928", "1141928 2 570964", "570964 2 285482", "285482 2 142741", "142741 349 409", "409 409 1" ]
3012400
2 2 2 2 5 5 17 443
[ "3012400 2 1506200", "1506200 2 753100", "753100 2 376550", "376550 2 188275", "188275 5 37655", "37655 5 7531", "7531 17 443", "443 443 1" ]
1858438
2 653 1423
[ "1858438 2 929219", "929219 653 1423", "1423 1423 1" ]
2295382
2 131 8761
[ "2295382 2 1147691", "1147691 131 8761", "8761 8761 1" ]
141333
3 47111
[ "141333 3 47111", "47111 47111 1" ]
4542117
3 1514039
[ "4542117 3 1514039", "1514039 1514039 1" ]
1867436
2 2 466859
[ "1867436 2 933718", "933718 2 466859", "466859 466859 1" ]
202525
5 5 8101
[ "202525 5 40505", "40505 5 8101", "8101 8101 1" ]
3610024
2 2 2 11 41023
[ "3610024 2 1805012", "1805012 2 902506", "902506 2 451253", "451253 11 41023", "41023 41023 1" ]
3411847
463 7369
[ "3411847 463 7369", "7369 7369 1" ]
4689166
2 1117 2099
[ "4689166 2 2344583", "2344583 1117 2099", "2099 2099 1" ]
4824174
2 3 47 17107
[ "4824174 2 2412087", "2412087 3 804029", "804029 47 17107", "17107 17107 1" ]
840401
643 1307
[ "840401 643 1307", "1307 1307 1" ]
2339296
2 2 2 2 2 41 1783
[ "2339296 2 1169648", "1169648 2 584824", "584824 2 292412", "292412 2 146206", "146206 2 73103", "73103 41 1783", "1783 1783 1" ]
4555619
4555619
[ "4555619 4555619 1" ]
395288
2 2 2 49411
[ "395288 2 197644", "197644 2 98822", "98822 2 49411", "49411 49411 1" ]
2744687
11 249517
[ "2744687 11 249517", "249517 249517 1" ]
1881783
3 3 37 5651
[ "1881783 3 627261", "627261 3 209087", "209087 37 5651", "5651 5651 1" ]
3657466
2 431 4243
[ "3657466 2 1828733", "1828733 431 4243", "4243 4243 1" ]
1353602
2 101 6701
[ "1353602 2 676801", "676801 101 6701", "6701 6701 1" ]
3641184
2 2 2 2 2 3 3 47 269
[ "3641184 2 1820592", "1820592 2 910296", "910296 2 455148", "455148 2 227574", "227574 2 113787", "113787 3 37929", "37929 3 12643", "12643 47 269", "269 269 1" ]
2278838
2 61 18679
[ "2278838 2 1139419", "1139419 61 18679", "18679 18679 1" ]
3120908
2 2 7 7 15923
[ "3120908 2 1560454", "1560454 2 780227", "780227 7 111461", "111461 7 15923", "15923 15923 1" ]
3329266
2 1664633
[ "3329266 2 1664633", "1664633 1664633 1" ]
2367112
2 2 2 11 37 727
[ "2367112 2 1183556", "1183556 2 591778", "591778 2 295889", "295889 11 26899", "26899 37 727", "727 727 1" ]
1562502
2 3 260417
[ "1562502 2 781251", "781251 3 260417", "260417 260417 1" ]
1890601
1890601
[ "1890601 1890601 1" ]
1539631
79 19489
[ "1539631 79 19489", "19489 19489 1" ]
839271
3 37 7561
[ "839271 3 279757", "279757 37 7561", "7561 7561 1" ]
3535938
2 3 3 7 7 19 211
[ "3535938 2 1767969", "1767969 3 589323", "589323 3 196441", "196441 7 28063", "28063 7 4009", "4009 19 211", "211 211 1" ]
3402221
41 82981
[ "3402221 41 82981", "82981 82981 1" ]
3552786
2 3 3 31 6367
[ "3552786 2 1776393", "1776393 3 592131", "592131 3 197377", "197377 31 6367", "6367 6367 1" ]
1363364
2 2 19 17939
[ "1363364 2 681682", "681682 2 340841", "340841 19 17939", "17939 17939 1" ]
4713545
5 942709
[ "4713545 5 942709", "942709 942709 1" ]
2479842
2 3 3 3 19 2417
[ "2479842 2 1239921", "1239921 3 413307", "413307 3 137769", "137769 3 45923", "45923 19 2417", "2417 2417 1" ]
70027
239 293
[ "70027 239 293", "293 293 1" ]
4578724
2 2 1144681
[ "4578724 2 2289362", "2289362 2 1144681", "1144681 1144681 1" ]
1664313
3 7 41 1933
[ "1664313 3 554771", "554771 7 79253", "79253 41 1933", "1933 1933 1" ]
4623248
2 2 2 2 7 7 5897
[ "4623248 2 2311624", "2311624 2 1155812", "1155812 2 577906", "577906 2 288953", "288953 7 41279", "41279 7 5897", "5897 5897 1" ]
4024325
5 5 17 17 557
[ "4024325 5 804865", "804865 5 160973", "160973 17 9469", "9469 17 557", "557 557 1" ]
1244494
2 622247
[ "1244494 2 622247", "622247 622247 1" ]
2942884
2 2 7 61 1723
[ "2942884 2 1471442", "1471442 2 735721", "735721 7 105103", "105103 61 1723", "1723 1723 1" ]
2592819
3 3 103 2797
[ "2592819 3 864273", "864273 3 288091", "288091 103 2797", "2797 2797 1" ]
2571793
7 47 7817
[ "2571793 7 367399", "367399 47 7817", "7817 7817 1" ]
4895842
2 7 149 2347
[ "4895842 2 2447921", "2447921 7 349703", "349703 149 2347", "2347 2347 1" ]
752718
2 3 125453
[ "752718 2 376359", "376359 3 125453", "125453 125453 1" ]
4170630
2 3 5 139021
[ "4170630 2 2085315", "2085315 3 695105", "695105 5 139021", "139021 139021 1" ]
756901
41 18461
[ "756901 41 18461", "18461 18461 1" ]
1841846
2 103 8941
[ "1841846 2 920923", "920923 103 8941", "8941 8941 1" ]
869158
2 79 5501
[ "869158 2 434579", "434579 79 5501", "5501 5501 1" ]