Datasets:
yimingzhang
/
prime-factorization

Dataset card Data Studio Files Community
input
stringlengths
3
7
output
stringlengths
3
41
step_by_step_solution
listlengths
1
21
4531124
2 2 13 79 1103
[ "4531124 2 2265562", "2265562 2 1132781", "1132781 13 87137", "87137 79 1103", "1103 1103 1" ]
4398566
2 23 95621
[ "4398566 2 2199283", "2199283 23 95621", "95621 95621 1" ]
1965603
3 23 61 467
[ "1965603 3 655201", "655201 23 28487", "28487 61 467", "467 467 1" ]
2071596
2 2 3 172633
[ "2071596 2 1035798", "1035798 2 517899", "517899 3 172633", "172633 172633 1" ]
4142238
2 3 89 7757
[ "4142238 2 2071119", "2071119 3 690373", "690373 89 7757", "7757 7757 1" ]
4567419
3 3 507491
[ "4567419 3 1522473", "1522473 3 507491", "507491 507491 1" ]
489362
2 17 37 389
[ "489362 2 244681", "244681 17 14393", "14393 37 389", "389 389 1" ]
3539480
2 2 2 5 7 12641
[ "3539480 2 1769740", "1769740 2 884870", "884870 2 442435", "442435 5 88487", "88487 7 12641", "12641 12641 1" ]
2156240
2 2 2 2 5 26953
[ "2156240 2 1078120", "1078120 2 539060", "539060 2 269530", "269530 2 134765", "134765 5 26953", "26953 26953 1" ]
1093591
1093591
[ "1093591 1093591 1" ]
3587581
3587581
[ "3587581 3587581 1" ]
4949963
4949963
[ "4949963 4949963 1" ]
4740809
773 6133
[ "4740809 773 6133", "6133 6133 1" ]
4210381
7 19 31657
[ "4210381 7 601483", "601483 19 31657", "31657 31657 1" ]
4268372
2 2 137 7789
[ "4268372 2 2134186", "2134186 2 1067093", "1067093 137 7789", "7789 7789 1" ]
1982382
2 3 29 11393
[ "1982382 2 991191", "991191 3 330397", "330397 29 11393", "11393 11393 1" ]
2461579
2461579
[ "2461579 2461579 1" ]
2184113
79 27647
[ "2184113 79 27647", "27647 27647 1" ]
3414403
3414403
[ "3414403 3414403 1" ]
2259546
2 3 359 1049
[ "2259546 2 1129773", "1129773 3 376591", "376591 359 1049", "1049 1049 1" ]
2012033
2012033
[ "2012033 2012033 1" ]
2292250
2 5 5 5 53 173
[ "2292250 2 1146125", "1146125 5 229225", "229225 5 45845", "45845 5 9169", "9169 53 173", "173 173 1" ]
907065
3 3 3 5 6719
[ "907065 3 302355", "302355 3 100785", "100785 3 33595", "33595 5 6719", "6719 6719 1" ]
1766508
2 2 3 147209
[ "1766508 2 883254", "883254 2 441627", "441627 3 147209", "147209 147209 1" ]
189367
409 463
[ "189367 409 463", "463 463 1" ]
4186047
3 127 10987
[ "4186047 3 1395349", "1395349 127 10987", "10987 10987 1" ]
4685720
2 2 2 5 13 9011
[ "4685720 2 2342860", "2342860 2 1171430", "1171430 2 585715", "585715 5 117143", "117143 13 9011", "9011 9011 1" ]
4842319
1987 2437
[ "4842319 1987 2437", "2437 2437 1" ]
2034606
2 3 7 193 251
[ "2034606 2 1017303", "1017303 3 339101", "339101 7 48443", "48443 193 251", "251 251 1" ]
4449316
2 2 557 1997
[ "4449316 2 2224658", "2224658 2 1112329", "1112329 557 1997", "1997 1997 1" ]
4625567
4625567
[ "4625567 4625567 1" ]
2609225
5 5 104369
[ "2609225 5 521845", "521845 5 104369", "104369 104369 1" ]
1205318
2 41 14699
[ "1205318 2 602659", "602659 41 14699", "14699 14699 1" ]
771816
2 2 2 3 32159
[ "771816 2 385908", "385908 2 192954", "192954 2 96477", "96477 3 32159", "32159 32159 1" ]
650729
521 1249
[ "650729 521 1249", "1249 1249 1" ]
3522760
2 2 2 5 88069
[ "3522760 2 1761380", "1761380 2 880690", "880690 2 440345", "440345 5 88069", "88069 88069 1" ]
4613174
2 2306587
[ "4613174 2 2306587", "2306587 2306587 1" ]
59040
2 2 2 2 2 3 3 5 41
[ "59040 2 29520", "29520 2 14760", "14760 2 7380", "7380 2 3690", "3690 2 1845", "1845 3 615", "615 3 205", "205 5 41", "41 41 1" ]
1452135
3 5 131 739
[ "1452135 3 484045", "484045 5 96809", "96809 131 739", "739 739 1" ]
3577196
2 2 7 7 18251
[ "3577196 2 1788598", "1788598 2 894299", "894299 7 127757", "127757 7 18251", "18251 18251 1" ]
821358
2 3 3 45631
[ "821358 2 410679", "410679 3 136893", "136893 3 45631", "45631 45631 1" ]
4686971
577 8123
[ "4686971 577 8123", "8123 8123 1" ]
4592361
3 619 2473
[ "4592361 3 1530787", "1530787 619 2473", "2473 2473 1" ]
4058604
2 2 3 3 11 37 277
[ "4058604 2 2029302", "2029302 2 1014651", "1014651 3 338217", "338217 3 112739", "112739 11 10249", "10249 37 277", "277 277 1" ]
968355
3 3 3 3 3 5 797
[ "968355 3 322785", "322785 3 107595", "107595 3 35865", "35865 3 11955", "11955 3 3985", "3985 5 797", "797 797 1" ]
2312958
2 3 385493
[ "2312958 2 1156479", "1156479 3 385493", "385493 385493 1" ]
643797
3 3 7 11 929
[ "643797 3 214599", "214599 3 71533", "71533 7 10219", "10219 11 929", "929 929 1" ]
1661961
3 7 29 2729
[ "1661961 3 553987", "553987 7 79141", "79141 29 2729", "2729 2729 1" ]
1798730
2 5 19 9467
[ "1798730 2 899365", "899365 5 179873", "179873 19 9467", "9467 9467 1" ]
4414761
3 3 13 97 389
[ "4414761 3 1471587", "1471587 3 490529", "490529 13 37733", "37733 97 389", "389 389 1" ]
2871754
2 29 67 739
[ "2871754 2 1435877", "1435877 29 49513", "49513 67 739", "739 739 1" ]
1005773
59 17047
[ "1005773 59 17047", "17047 17047 1" ]
904506
2 3 233 647
[ "904506 2 452253", "452253 3 150751", "150751 233 647", "647 647 1" ]
1961073
3 3 193 1129
[ "1961073 3 653691", "653691 3 217897", "217897 193 1129", "1129 1129 1" ]
4248024
2 2 2 3 11 16091
[ "4248024 2 2124012", "2124012 2 1062006", "1062006 2 531003", "531003 3 177001", "177001 11 16091", "16091 16091 1" ]
4415580
2 2 3 3 3 5 13 17 37
[ "4415580 2 2207790", "2207790 2 1103895", "1103895 3 367965", "367965 3 122655", "122655 3 40885", "40885 5 8177", "8177 13 629", "629 17 37", "37 37 1" ]
2799066
2 3 449 1039
[ "2799066 2 1399533", "1399533 3 466511", "466511 449 1039", "1039 1039 1" ]
4621593
3 67 22993
[ "4621593 3 1540531", "1540531 67 22993", "22993 22993 1" ]
1058347
149 7103
[ "1058347 149 7103", "7103 7103 1" ]
1884983
137 13759
[ "1884983 137 13759", "13759 13759 1" ]
4010028
2 2 3 11 17 1787
[ "4010028 2 2005014", "2005014 2 1002507", "1002507 3 334169", "334169 11 30379", "30379 17 1787", "1787 1787 1" ]
1683749
1683749
[ "1683749 1683749 1" ]
1030122
2 3 3 151 379
[ "1030122 2 515061", "515061 3 171687", "171687 3 57229", "57229 151 379", "379 379 1" ]
4635012
2 2 3 19 29 701
[ "4635012 2 2317506", "2317506 2 1158753", "1158753 3 386251", "386251 19 20329", "20329 29 701", "701 701 1" ]
3938663
59 241 277
[ "3938663 59 66757", "66757 241 277", "277 277 1" ]
2156592
2 2 2 2 3 179 251
[ "2156592 2 1078296", "1078296 2 539148", "539148 2 269574", "269574 2 134787", "134787 3 44929", "44929 179 251", "251 251 1" ]
1592884
2 2 19 20959
[ "1592884 2 796442", "796442 2 398221", "398221 19 20959", "20959 20959 1" ]
2137256
2 2 2 11 149 163
[ "2137256 2 1068628", "1068628 2 534314", "534314 2 267157", "267157 11 24287", "24287 149 163", "163 163 1" ]
977675
5 5 39107
[ "977675 5 195535", "195535 5 39107", "39107 39107 1" ]
900936
2 2 2 3 3 3 43 97
[ "900936 2 450468", "450468 2 225234", "225234 2 112617", "112617 3 37539", "37539 3 12513", "12513 3 4171", "4171 43 97", "97 97 1" ]
656306
2 7 7 37 181
[ "656306 2 328153", "328153 7 46879", "46879 7 6697", "6697 37 181", "181 181 1" ]
1343427
3 431 1039
[ "1343427 3 447809", "447809 431 1039", "1039 1039 1" ]
735684
2 2 3 101 607
[ "735684 2 367842", "367842 2 183921", "183921 3 61307", "61307 101 607", "607 607 1" ]
966730
2 5 277 349
[ "966730 2 483365", "483365 5 96673", "96673 277 349", "349 349 1" ]
2365448
2 2 2 17 17393
[ "2365448 2 1182724", "1182724 2 591362", "591362 2 295681", "295681 17 17393", "17393 17393 1" ]
2579434
2 11 13 29 311
[ "2579434 2 1289717", "1289717 11 117247", "117247 13 9019", "9019 29 311", "311 311 1" ]
3328653
3 383 2897
[ "3328653 3 1109551", "1109551 383 2897", "2897 2897 1" ]
3079543
3079543
[ "3079543 3079543 1" ]
3597629
7 7 73421
[ "3597629 7 513947", "513947 7 73421", "73421 73421 1" ]
1791417
3 29 59 349
[ "1791417 3 597139", "597139 29 20591", "20591 59 349", "349 349 1" ]
3272721
3 17 64171
[ "3272721 3 1090907", "1090907 17 64171", "64171 64171 1" ]
4590390
2 3 5 7 21859
[ "4590390 2 2295195", "2295195 3 765065", "765065 5 153013", "153013 7 21859", "21859 21859 1" ]
3944966
2 1972483
[ "3944966 2 1972483", "1972483 1972483 1" ]
122461
151 811
[ "122461 151 811", "811 811 1" ]
3975042
2 3 17 38971
[ "3975042 2 1987521", "1987521 3 662507", "662507 17 38971", "38971 38971 1" ]
1548362
2 774181
[ "1548362 2 774181", "774181 774181 1" ]
1417478
2 827 857
[ "1417478 2 708739", "708739 827 857", "857 857 1" ]
2258751
3 11 68447
[ "2258751 3 752917", "752917 11 68447", "68447 68447 1" ]
2513882
2 7 179563
[ "2513882 2 1256941", "1256941 7 179563", "179563 179563 1" ]
3706215
3 5 211 1171
[ "3706215 3 1235405", "1235405 5 247081", "247081 211 1171", "1171 1171 1" ]
2463447
3 7 117307
[ "2463447 3 821149", "821149 7 117307", "117307 117307 1" ]
4269654
2 3 3 237203
[ "4269654 2 2134827", "2134827 3 711609", "711609 3 237203", "237203 237203 1" ]
4032392
2 2 2 7 13 29 191
[ "4032392 2 2016196", "2016196 2 1008098", "1008098 2 504049", "504049 7 72007", "72007 13 5539", "5539 29 191", "191 191 1" ]
1966349
7 11 25537
[ "1966349 7 280907", "280907 11 25537", "25537 25537 1" ]
4723210
2 5 19 24859
[ "4723210 2 2361605", "2361605 5 472321", "472321 19 24859", "24859 24859 1" ]
2984300
2 2 5 5 11 2713
[ "2984300 2 1492150", "1492150 2 746075", "746075 5 149215", "149215 5 29843", "29843 11 2713", "2713 2713 1" ]
3825434
2 53 151 239
[ "3825434 2 1912717", "1912717 53 36089", "36089 151 239", "239 239 1" ]
3539941
59 59999
[ "3539941 59 59999", "59999 59999 1" ]
4006208
2 2 2 2 2 2 62597
[ "4006208 2 2003104", "2003104 2 1001552", "1001552 2 500776", "500776 2 250388", "250388 2 125194", "125194 2 62597", "62597 62597 1" ]
2784376
2 2 2 7 7 7103
[ "2784376 2 1392188", "1392188 2 696094", "696094 2 348047", "348047 7 49721", "49721 7 7103", "7103 7103 1" ]