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
847412
2 2 23 61 151
[ "847412 2 423706", "423706 2 211853", "211853 23 9211", "9211 61 151", "151 151 1" ]
4124017
103 40039
[ "4124017 103 40039", "40039 40039 1" ]
3104090
2 5 11 28219
[ "3104090 2 1552045", "1552045 5 310409", "310409 11 28219", "28219 28219 1" ]
1757296
2 2 2 2 109831
[ "1757296 2 878648", "878648 2 439324", "439324 2 219662", "219662 2 109831", "109831 109831 1" ]
613725
3 5 5 7 7 167
[ "613725 3 204575", "204575 5 40915", "40915 5 8183", "8183 7 1169", "1169 7 167", "167 167 1" ]
1437684
2 2 3 23 5209
[ "1437684 2 718842", "718842 2 359421", "359421 3 119807", "119807 23 5209", "5209 5209 1" ]
3355798
2 1677899
[ "3355798 2 1677899", "1677899 1677899 1" ]
1943488
2 2 2 2 2 2 30367
[ "1943488 2 971744", "971744 2 485872", "485872 2 242936", "242936 2 121468", "121468 2 60734", "60734 2 30367", "30367 30367 1" ]
50176
2 2 2 2 2 2 2 2 2 2 7 7
[ "50176 2 25088", "25088 2 12544", "12544 2 6272", "6272 2 3136", "3136 2 1568", "1568 2 784", "784 2 392", "392 2 196", "196 2 98", "98 2 49", "49 7 7", "7 7 1" ]
2095636
2 2 47 71 157
[ "2095636 2 1047818", "1047818 2 523909", "523909 47 11147", "11147 71 157", "157 157 1" ]
1823958
2 3 3 3 3 3 3 3 3 139
[ "1823958 2 911979", "911979 3 303993", "303993 3 101331", "101331 3 33777", "33777 3 11259", "11259 3 3753", "3753 3 1251", "1251 3 417", "417 3 139", "139 139 1" ]
2604927
3 13 17 3929
[ "2604927 3 868309", "868309 13 66793", "66793 17 3929", "3929 3929 1" ]
167645
5 33529
[ "167645 5 33529", "33529 33529 1" ]
2482064
2 2 2 2 13 11933
[ "2482064 2 1241032", "1241032 2 620516", "620516 2 310258", "310258 2 155129", "155129 13 11933", "11933 11933 1" ]
101659
277 367
[ "101659 277 367", "367 367 1" ]
1837370
2 5 31 5927
[ "1837370 2 918685", "918685 5 183737", "183737 31 5927", "5927 5927 1" ]
1519443
3 3 17 9931
[ "1519443 3 506481", "506481 3 168827", "168827 17 9931", "9931 9931 1" ]
2920512
2 2 2 2 2 2 3 7 41 53
[ "2920512 2 1460256", "1460256 2 730128", "730128 2 365064", "365064 2 182532", "182532 2 91266", "91266 2 45633", "45633 3 15211", "15211 7 2173", "2173 41 53", "53 53 1" ]
3577559
157 22787
[ "3577559 157 22787", "22787 22787 1" ]
4526192
2 2 2 2 11 25717
[ "4526192 2 2263096", "2263096 2 1131548", "1131548 2 565774", "565774 2 282887", "282887 11 25717", "25717 25717 1" ]
2766029
7 395147
[ "2766029 7 395147", "395147 395147 1" ]
4925258
2 13 189433
[ "4925258 2 2462629", "2462629 13 189433", "189433 189433 1" ]
1909072
2 2 2 2 11 10847
[ "1909072 2 954536", "954536 2 477268", "477268 2 238634", "238634 2 119317", "119317 11 10847", "10847 10847 1" ]
567482
2 283741
[ "567482 2 283741", "283741 283741 1" ]
1707356
2 2 7 7 31 281
[ "1707356 2 853678", "853678 2 426839", "426839 7 60977", "60977 7 8711", "8711 31 281", "281 281 1" ]
503690
2 5 11 19 241
[ "503690 2 251845", "251845 5 50369", "50369 11 4579", "4579 19 241", "241 241 1" ]
1907892
2 2 3 3 7 67 113
[ "1907892 2 953946", "953946 2 476973", "476973 3 158991", "158991 3 52997", "52997 7 7571", "7571 67 113", "113 113 1" ]
368256
2 2 2 2 2 2 2 3 7 137
[ "368256 2 184128", "184128 2 92064", "92064 2 46032", "46032 2 23016", "23016 2 11508", "11508 2 5754", "5754 2 2877", "2877 3 959", "959 7 137", "137 137 1" ]
4831741
47 223 461
[ "4831741 47 102803", "102803 223 461", "461 461 1" ]
4225856
2 2 2 2 2 2 66029
[ "4225856 2 2112928", "2112928 2 1056464", "1056464 2 528232", "528232 2 264116", "264116 2 132058", "132058 2 66029", "66029 66029 1" ]
3544929
3 3 307 1283
[ "3544929 3 1181643", "1181643 3 393881", "393881 307 1283", "1283 1283 1" ]
204140
2 2 5 59 173
[ "204140 2 102070", "102070 2 51035", "51035 5 10207", "10207 59 173", "173 173 1" ]
135682
2 179 379
[ "135682 2 67841", "67841 179 379", "379 379 1" ]
2821928
2 2 2 352741
[ "2821928 2 1410964", "1410964 2 705482", "705482 2 352741", "352741 352741 1" ]
916475
5 5 7 5237
[ "916475 5 183295", "183295 5 36659", "36659 7 5237", "5237 5237 1" ]
673631
7 96233
[ "673631 7 96233", "96233 96233 1" ]
2314920
2 2 2 3 5 101 191
[ "2314920 2 1157460", "1157460 2 578730", "578730 2 289365", "289365 3 96455", "96455 5 19291", "19291 101 191", "191 191 1" ]
4447216
2 2 2 2 19 14629
[ "4447216 2 2223608", "2223608 2 1111804", "1111804 2 555902", "555902 2 277951", "277951 19 14629", "14629 14629 1" ]
4594242
2 3 765707
[ "4594242 2 2297121", "2297121 3 765707", "765707 765707 1" ]
4969507
19 37 7069
[ "4969507 19 261553", "261553 37 7069", "7069 7069 1" ]
2661332
2 2 283 2351
[ "2661332 2 1330666", "1330666 2 665333", "665333 283 2351", "2351 2351 1" ]
886728
2 2 2 3 36947
[ "886728 2 443364", "443364 2 221682", "221682 2 110841", "110841 3 36947", "36947 36947 1" ]
2412330
2 3 5 191 421
[ "2412330 2 1206165", "1206165 3 402055", "402055 5 80411", "80411 191 421", "421 421 1" ]
4454697
3 13 17 6719
[ "4454697 3 1484899", "1484899 13 114223", "114223 17 6719", "6719 6719 1" ]
1665527
1665527
[ "1665527 1665527 1" ]
1965285
3 3 5 7 17 367
[ "1965285 3 655095", "655095 3 218365", "218365 5 43673", "43673 7 6239", "6239 17 367", "367 367 1" ]
2243386
2 1121693
[ "2243386 2 1121693", "1121693 1121693 1" ]
201929
7 7 13 317
[ "201929 7 28847", "28847 7 4121", "4121 13 317", "317 317 1" ]
2900710
2 5 17 113 151
[ "2900710 2 1450355", "1450355 5 290071", "290071 17 17063", "17063 113 151", "151 151 1" ]
1313438
2 7 23 4079
[ "1313438 2 656719", "656719 7 93817", "93817 23 4079", "4079 4079 1" ]
2720491
73 83 449
[ "2720491 73 37267", "37267 83 449", "449 449 1" ]
1922669
7 274667
[ "1922669 7 274667", "274667 274667 1" ]
1665143
1665143
[ "1665143 1665143 1" ]
4404121
4404121
[ "4404121 4404121 1" ]
982051
7 239 587
[ "982051 7 140293", "140293 239 587", "587 587 1" ]
3570845
5 714169
[ "3570845 5 714169", "714169 714169 1" ]
344535
3 5 103 223
[ "344535 3 114845", "114845 5 22969", "22969 103 223", "223 223 1" ]
3967467
3 7 188927
[ "3967467 3 1322489", "1322489 7 188927", "188927 188927 1" ]
4270530
2 3 5 11 12941
[ "4270530 2 2135265", "2135265 3 711755", "711755 5 142351", "142351 11 12941", "12941 12941 1" ]
637453
31 20563
[ "637453 31 20563", "20563 20563 1" ]
876795
3 5 58453
[ "876795 3 292265", "292265 5 58453", "58453 58453 1" ]
4710719
13 362363
[ "4710719 13 362363", "362363 362363 1" ]
2936534
2 1468267
[ "2936534 2 1468267", "1468267 1468267 1" ]
1926631
7 7 7 41 137
[ "1926631 7 275233", "275233 7 39319", "39319 7 5617", "5617 41 137", "137 137 1" ]
3801320
2 2 2 5 29 29 113
[ "3801320 2 1900660", "1900660 2 950330", "950330 2 475165", "475165 5 95033", "95033 29 3277", "3277 29 113", "113 113 1" ]
3551040
2 2 2 2 2 2 3 3 3 3 5 137
[ "3551040 2 1775520", "1775520 2 887760", "887760 2 443880", "443880 2 221940", "221940 2 110970", "110970 2 55485", "55485 3 18495", "18495 3 6165", "6165 3 2055", "2055 3 685", "685 5 137", "137 137 1" ]
3858691
19 43 4723
[ "3858691 19 203089", "203089 43 4723", "4723 4723 1" ]
915104
2 2 2 2 2 28597
[ "915104 2 457552", "457552 2 228776", "228776 2 114388", "114388 2 57194", "57194 2 28597", "28597 28597 1" ]
3568688
2 2 2 2 67 3329
[ "3568688 2 1784344", "1784344 2 892172", "892172 2 446086", "446086 2 223043", "223043 67 3329", "3329 3329 1" ]
269297
7 17 31 73
[ "269297 7 38471", "38471 17 2263", "2263 31 73", "73 73 1" ]
1517291
1019 1489
[ "1517291 1019 1489", "1489 1489 1" ]
3432184
2 2 2 7 167 367
[ "3432184 2 1716092", "1716092 2 858046", "858046 2 429023", "429023 7 61289", "61289 167 367", "367 367 1" ]
2478250
2 5 5 5 23 431
[ "2478250 2 1239125", "1239125 5 247825", "247825 5 49565", "49565 5 9913", "9913 23 431", "431 431 1" ]
2329896
2 2 2 3 193 503
[ "2329896 2 1164948", "1164948 2 582474", "582474 2 291237", "291237 3 97079", "97079 193 503", "503 503 1" ]
4679020
2 2 5 37 6323
[ "4679020 2 2339510", "2339510 2 1169755", "1169755 5 233951", "233951 37 6323", "6323 6323 1" ]
3640515
3 5 29 8369
[ "3640515 3 1213505", "1213505 5 242701", "242701 29 8369", "8369 8369 1" ]
1542689
1542689
[ "1542689 1542689 1" ]
3271838
2 19 29 2969
[ "3271838 2 1635919", "1635919 19 86101", "86101 29 2969", "2969 2969 1" ]
2146542
2 3 347 1031
[ "2146542 2 1073271", "1073271 3 357757", "357757 347 1031", "1031 1031 1" ]
3915029
29 127 1063
[ "3915029 29 135001", "135001 127 1063", "1063 1063 1" ]
2551730
2 5 255173
[ "2551730 2 1275865", "1275865 5 255173", "255173 255173 1" ]
590847
3 23 8563
[ "590847 3 196949", "196949 23 8563", "8563 8563 1" ]
2196249
3 11 66553
[ "2196249 3 732083", "732083 11 66553", "66553 66553 1" ]
2780636
2 2 29 23971
[ "2780636 2 1390318", "1390318 2 695159", "695159 29 23971", "23971 23971 1" ]
4661627
1993 2339
[ "4661627 1993 2339", "2339 2339 1" ]
558237
3 317 587
[ "558237 3 186079", "186079 317 587", "587 587 1" ]
3526916
2 2 881729
[ "3526916 2 1763458", "1763458 2 881729", "881729 881729 1" ]
1135470
2 3 5 7 5407
[ "1135470 2 567735", "567735 3 189245", "189245 5 37849", "37849 7 5407", "5407 5407 1" ]
566260
2 2 5 23 1231
[ "566260 2 283130", "283130 2 141565", "141565 5 28313", "28313 23 1231", "1231 1231 1" ]
4095433
197 20789
[ "4095433 197 20789", "20789 20789 1" ]
3234966
2 3 7 77023
[ "3234966 2 1617483", "1617483 3 539161", "539161 7 77023", "77023 77023 1" ]
728051
311 2341
[ "728051 311 2341", "2341 2341 1" ]
299522
2 31 4831
[ "299522 2 149761", "149761 31 4831", "4831 4831 1" ]
2555197
2555197
[ "2555197 2555197 1" ]
4506268
2 2 13 19 4561
[ "4506268 2 2253134", "2253134 2 1126567", "1126567 13 86659", "86659 19 4561", "4561 4561 1" ]
3634326
2 3 3 201907
[ "3634326 2 1817163", "1817163 3 605721", "605721 3 201907", "201907 201907 1" ]
227601
3 3 11 11 11 19
[ "227601 3 75867", "75867 3 25289", "25289 11 2299", "2299 11 209", "209 11 19", "19 19 1" ]
3571603
7 31 109 151
[ "3571603 7 510229", "510229 31 16459", "16459 109 151", "151 151 1" ]
4764143
4764143
[ "4764143 4764143 1" ]
683146
2 23 14851
[ "683146 2 341573", "341573 23 14851", "14851 14851 1" ]