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
4488806
2 7 83 3863
[ "4488806 2 2244403", "2244403 7 320629", "320629 83 3863", "3863 3863 1" ]
2184704
2 2 2 2 2 2 2 2 2 17 251
[ "2184704 2 1092352", "1092352 2 546176", "546176 2 273088", "273088 2 136544", "136544 2 68272", "68272 2 34136", "34136 2 17068", "17068 2 8534", "8534 2 4267", "4267 17 251", "251 251 1" ]
4673926
2 1123 2081
[ "4673926 2 2336963", "2336963 1123 2081", "2081 2081 1" ]
647914
2 323957
[ "647914 2 323957", "323957 323957 1" ]
1508136
2 2 2 3 7 47 191
[ "1508136 2 754068", "754068 2 377034", "377034 2 188517", "188517 3 62839", "62839 7 8977", "8977 47 191", "191 191 1" ]
1193022
2 3 3 3 22093
[ "1193022 2 596511", "596511 3 198837", "198837 3 66279", "66279 3 22093", "22093 22093 1" ]
100307
37 2711
[ "100307 37 2711", "2711 2711 1" ]
3653650
2 5 5 7 11 13 73
[ "3653650 2 1826825", "1826825 5 365365", "365365 5 73073", "73073 7 10439", "10439 11 949", "949 13 73", "73 73 1" ]
3268530
2 3 3 5 23 1579
[ "3268530 2 1634265", "1634265 3 544755", "544755 3 181585", "181585 5 36317", "36317 23 1579", "1579 1579 1" ]
3364988
2 2 11 31 2467
[ "3364988 2 1682494", "1682494 2 841247", "841247 11 76477", "76477 31 2467", "2467 2467 1" ]
2260159
11 11 18679
[ "2260159 11 205469", "205469 11 18679", "18679 18679 1" ]
3841234
2 1920617
[ "3841234 2 1920617", "1920617 1920617 1" ]
1304745
3 5 13 6691
[ "1304745 3 434915", "434915 5 86983", "86983 13 6691", "6691 6691 1" ]
2187692
2 2 13 42071
[ "2187692 2 1093846", "1093846 2 546923", "546923 13 42071", "42071 42071 1" ]
2292368
2 2 2 2 13 103 107
[ "2292368 2 1146184", "1146184 2 573092", "573092 2 286546", "286546 2 143273", "143273 13 11021", "11021 103 107", "107 107 1" ]
4540293
3 3 3 3 56053
[ "4540293 3 1513431", "1513431 3 504477", "504477 3 168159", "168159 3 56053", "56053 56053 1" ]
3675410
2 5 367541
[ "3675410 2 1837705", "1837705 5 367541", "367541 367541 1" ]
986598
2 3 3 59 929
[ "986598 2 493299", "493299 3 164433", "164433 3 54811", "54811 59 929", "929 929 1" ]
2977525
5 5 119101
[ "2977525 5 595505", "595505 5 119101", "119101 119101 1" ]
3896703
3 3 43 10069
[ "3896703 3 1298901", "1298901 3 432967", "432967 43 10069", "10069 10069 1" ]
364999
383 953
[ "364999 383 953", "953 953 1" ]
2001306
2 3 43 7757
[ "2001306 2 1000653", "1000653 3 333551", "333551 43 7757", "7757 7757 1" ]
2532293
61 41513
[ "2532293 61 41513", "41513 41513 1" ]
1573690
2 5 17 9257
[ "1573690 2 786845", "786845 5 157369", "157369 17 9257", "9257 9257 1" ]
2924924
2 2 37 19763
[ "2924924 2 1462462", "1462462 2 731231", "731231 37 19763", "19763 19763 1" ]
42361
11 3851
[ "42361 11 3851", "3851 3851 1" ]
4812870
2 3 5 17 9437
[ "4812870 2 2406435", "2406435 3 802145", "802145 5 160429", "160429 17 9437", "9437 9437 1" ]
1795723
43 41761
[ "1795723 43 41761", "41761 41761 1" ]
4218074
2 7 17 37 479
[ "4218074 2 2109037", "2109037 7 301291", "301291 17 17723", "17723 37 479", "479 479 1" ]
3402573
3 647 1753
[ "3402573 3 1134191", "1134191 647 1753", "1753 1753 1" ]
1696384
2 2 2 2 2 2 2 29 457
[ "1696384 2 848192", "848192 2 424096", "424096 2 212048", "212048 2 106024", "106024 2 53012", "53012 2 26506", "26506 2 13253", "13253 29 457", "457 457 1" ]
1626477
3 31 17489
[ "1626477 3 542159", "542159 31 17489", "17489 17489 1" ]
1566847
1566847
[ "1566847 1566847 1" ]
3931456
2 2 2 2 2 2 47 1307
[ "3931456 2 1965728", "1965728 2 982864", "982864 2 491432", "491432 2 245716", "245716 2 122858", "122858 2 61429", "61429 47 1307", "1307 1307 1" ]
3539066
2 71 24923
[ "3539066 2 1769533", "1769533 71 24923", "24923 24923 1" ]
1992495
3 5 132833
[ "1992495 3 664165", "664165 5 132833", "132833 132833 1" ]
4820496
2 2 2 2 3 29 3463
[ "4820496 2 2410248", "2410248 2 1205124", "1205124 2 602562", "602562 2 301281", "301281 3 100427", "100427 29 3463", "3463 3463 1" ]
2366477
2366477
[ "2366477 2366477 1" ]
1282623
3 427541
[ "1282623 3 427541", "427541 427541 1" ]
2885625
3 3 3 3 3 5 5 5 5 19
[ "2885625 3 961875", "961875 3 320625", "320625 3 106875", "106875 3 35625", "35625 3 11875", "11875 5 2375", "2375 5 475", "475 5 95", "95 5 19", "19 19 1" ]
3775821
3 7 179801
[ "3775821 3 1258607", "1258607 7 179801", "179801 179801 1" ]
2397479
7 342497
[ "2397479 7 342497", "342497 342497 1" ]
662380
2 2 5 33119
[ "662380 2 331190", "331190 2 165595", "165595 5 33119", "33119 33119 1" ]
942949
7 134707
[ "942949 7 134707", "134707 134707 1" ]
4989176
2 2 2 113 5519
[ "4989176 2 2494588", "2494588 2 1247294", "1247294 2 623647", "623647 113 5519", "5519 5519 1" ]
270293
89 3037
[ "270293 89 3037", "3037 3037 1" ]
2166032
2 2 2 2 11 31 397
[ "2166032 2 1083016", "1083016 2 541508", "541508 2 270754", "270754 2 135377", "135377 11 12307", "12307 31 397", "397 397 1" ]
2644955
5 528991
[ "2644955 5 528991", "528991 528991 1" ]
3543627
3 1181209
[ "3543627 3 1181209", "1181209 1181209 1" ]
3257835
3 5 7 19 23 71
[ "3257835 3 1085945", "1085945 5 217189", "217189 7 31027", "31027 19 1633", "1633 23 71", "71 71 1" ]
452912
2 2 2 2 28307
[ "452912 2 226456", "226456 2 113228", "113228 2 56614", "56614 2 28307", "28307 28307 1" ]
4223078
2 2111539
[ "4223078 2 2111539", "2111539 2111539 1" ]
3974854
2 13 152879
[ "3974854 2 1987427", "1987427 13 152879", "152879 152879 1" ]
2430503
2430503
[ "2430503 2430503 1" ]
2745514
2 1372757
[ "2745514 2 1372757", "1372757 1372757 1" ]
1136037
3 7 47 1151
[ "1136037 3 378679", "378679 7 54097", "54097 47 1151", "1151 1151 1" ]
3140827
31 71 1427
[ "3140827 31 101317", "101317 71 1427", "1427 1427 1" ]
2530202
2 1265101
[ "2530202 2 1265101", "1265101 1265101 1" ]
2820889
2820889
[ "2820889 2820889 1" ]
3998256
2 2 2 2 3 31 2687
[ "3998256 2 1999128", "1999128 2 999564", "999564 2 499782", "499782 2 249891", "249891 3 83297", "83297 31 2687", "2687 2687 1" ]
1446867
3 3 373 431
[ "1446867 3 482289", "482289 3 160763", "160763 373 431", "431 431 1" ]
471585
3 5 149 211
[ "471585 3 157195", "157195 5 31439", "31439 149 211", "211 211 1" ]
4033991
13 61 5087
[ "4033991 13 310307", "310307 61 5087", "5087 5087 1" ]
2311429
1433 1613
[ "2311429 1433 1613", "1613 1613 1" ]
1330462
2 7 29 29 113
[ "1330462 2 665231", "665231 7 95033", "95033 29 3277", "3277 29 113", "113 113 1" ]
1051212
2 2 3 17 5153
[ "1051212 2 525606", "525606 2 262803", "262803 3 87601", "87601 17 5153", "5153 5153 1" ]
1063681
23 103 449
[ "1063681 23 46247", "46247 103 449", "449 449 1" ]
2653444
2 2 43 15427
[ "2653444 2 1326722", "1326722 2 663361", "663361 43 15427", "15427 15427 1" ]
996175
5 5 39847
[ "996175 5 199235", "199235 5 39847", "39847 39847 1" ]
491366
2 245683
[ "491366 2 245683", "245683 245683 1" ]
522055
5 263 397
[ "522055 5 104411", "104411 263 397", "397 397 1" ]
235467
3 3 3 3 3 3 17 19
[ "235467 3 78489", "78489 3 26163", "26163 3 8721", "8721 3 2907", "2907 3 969", "969 3 323", "323 17 19", "19 19 1" ]
1936334
2 17 56951
[ "1936334 2 968167", "968167 17 56951", "56951 56951 1" ]
2326756
2 2 17 34217
[ "2326756 2 1163378", "1163378 2 581689", "581689 17 34217", "34217 34217 1" ]
1090827
3 3 3 3 3 67 67
[ "1090827 3 363609", "363609 3 121203", "121203 3 40401", "40401 3 13467", "13467 3 4489", "4489 67 67", "67 67 1" ]
3996672
2 2 2 2 2 2 2 2 2 2 3 1301
[ "3996672 2 1998336", "1998336 2 999168", "999168 2 499584", "499584 2 249792", "249792 2 124896", "124896 2 62448", "62448 2 31224", "31224 2 15612", "15612 2 7806", "7806 2 3903", "3903 3 1301", "1301 1301 1" ]
682977
3 97 2347
[ "682977 3 227659", "227659 97 2347", "2347 2347 1" ]
266388
2 2 3 79 281
[ "266388 2 133194", "133194 2 66597", "66597 3 22199", "22199 79 281", "281 281 1" ]
8003
53 151
[ "8003 53 151", "151 151 1" ]
3950475
3 5 5 52673
[ "3950475 3 1316825", "1316825 5 263365", "263365 5 52673", "52673 52673 1" ]
2960286
2 3 7 7 10069
[ "2960286 2 1480143", "1480143 3 493381", "493381 7 70483", "70483 7 10069", "10069 10069 1" ]
3055565
5 611113
[ "3055565 5 611113", "611113 611113 1" ]
2999003
7 428429
[ "2999003 7 428429", "428429 428429 1" ]
3589503
3 1196501
[ "3589503 3 1196501", "1196501 1196501 1" ]
3799315
5 13 58451
[ "3799315 5 759863", "759863 13 58451", "58451 58451 1" ]
3194898
2 3 7 7 10867
[ "3194898 2 1597449", "1597449 3 532483", "532483 7 76069", "76069 7 10867", "10867 10867 1" ]
4678959
3 19 23 43 83
[ "4678959 3 1559653", "1559653 19 82087", "82087 23 3569", "3569 43 83", "83 83 1" ]
3560270
2 5 7 181 281
[ "3560270 2 1780135", "1780135 5 356027", "356027 7 50861", "50861 181 281", "281 281 1" ]
4024402
2 23 89 983
[ "4024402 2 2012201", "2012201 23 87487", "87487 89 983", "983 983 1" ]
3179578
2 17 17 5501
[ "3179578 2 1589789", "1589789 17 93517", "93517 17 5501", "5501 5501 1" ]
188209
7 7 23 167
[ "188209 7 26887", "26887 7 3841", "3841 23 167", "167 167 1" ]
4964838
2 3 827473
[ "4964838 2 2482419", "2482419 3 827473", "827473 827473 1" ]
3850913
11 23 31 491
[ "3850913 11 350083", "350083 23 15221", "15221 31 491", "491 491 1" ]
2077459
43 48313
[ "2077459 43 48313", "48313 48313 1" ]
1003937
11 11 8297
[ "1003937 11 91267", "91267 11 8297", "8297 8297 1" ]
2435759
733 3323
[ "2435759 733 3323", "3323 3323 1" ]
3085530
2 3 5 7 7 2099
[ "3085530 2 1542765", "1542765 3 514255", "514255 5 102851", "102851 7 14693", "14693 7 2099", "2099 2099 1" ]
3965528
2 2 2 7 19 3727
[ "3965528 2 1982764", "1982764 2 991382", "991382 2 495691", "495691 7 70813", "70813 19 3727", "3727 3727 1" ]
4712578
2 13 181253
[ "4712578 2 2356289", "2356289 13 181253", "181253 181253 1" ]
919554
2 3 153259
[ "919554 2 459777", "459777 3 153259", "153259 153259 1" ]