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
4379348
2 2 19 29 1987
[ "4379348 2 2189674", "2189674 2 1094837", "1094837 19 57623", "57623 29 1987", "1987 1987 1" ]
2744243
2744243
[ "2744243 2744243 1" ]
1922567
1922567
[ "1922567 1922567 1" ]
4093865
5 37 22129
[ "4093865 5 818773", "818773 37 22129", "22129 22129 1" ]
4956304
2 2 2 2 309769
[ "4956304 2 2478152", "2478152 2 1239076", "1239076 2 619538", "619538 2 309769", "309769 309769 1" ]
299448
2 2 2 3 3 4159
[ "299448 2 149724", "149724 2 74862", "74862 2 37431", "37431 3 12477", "12477 3 4159", "4159 4159 1" ]
968750
2 5 5 5 5 5 5 31
[ "968750 2 484375", "484375 5 96875", "96875 5 19375", "19375 5 3875", "3875 5 775", "775 5 155", "155 5 31", "31 31 1" ]
1565490
2 3 5 52183
[ "1565490 2 782745", "782745 3 260915", "260915 5 52183", "52183 52183 1" ]
3591905
5 718381
[ "3591905 5 718381", "718381 718381 1" ]
2784228
2 2 3 41 5659
[ "2784228 2 1392114", "1392114 2 696057", "696057 3 232019", "232019 41 5659", "5659 5659 1" ]
4011079
1319 3041
[ "4011079 1319 3041", "3041 3041 1" ]
4460530
2 5 446053
[ "4460530 2 2230265", "2230265 5 446053", "446053 446053 1" ]
244518
2 3 83 491
[ "244518 2 122259", "122259 3 40753", "40753 83 491", "491 491 1" ]
4822670
2 5 31 47 331
[ "4822670 2 2411335", "2411335 5 482267", "482267 31 15557", "15557 47 331", "331 331 1" ]
4602563
7 17 38677
[ "4602563 7 657509", "657509 17 38677", "38677 38677 1" ]
3818791
19 200989
[ "3818791 19 200989", "200989 200989 1" ]
3588512
2 2 2 2 2 127 883
[ "3588512 2 1794256", "1794256 2 897128", "897128 2 448564", "448564 2 224282", "224282 2 112141", "112141 127 883", "883 883 1" ]
683209
31 22039
[ "683209 31 22039", "22039 22039 1" ]
786508
2 2 23 83 103
[ "786508 2 393254", "393254 2 196627", "196627 23 8549", "8549 83 103", "103 103 1" ]
2247543
3 3 249727
[ "2247543 3 749181", "749181 3 249727", "249727 249727 1" ]
3490838
2 13 134263
[ "3490838 2 1745419", "1745419 13 134263", "134263 134263 1" ]
912919
7 7 31 601
[ "912919 7 130417", "130417 7 18631", "18631 31 601", "601 601 1" ]
3932364
2 2 3 67 67 73
[ "3932364 2 1966182", "1966182 2 983091", "983091 3 327697", "327697 67 4891", "4891 67 73", "73 73 1" ]
3456136
2 2 2 41 41 257
[ "3456136 2 1728068", "1728068 2 864034", "864034 2 432017", "432017 41 10537", "10537 41 257", "257 257 1" ]
1912617
3 3 7 7 4337
[ "1912617 3 637539", "637539 3 212513", "212513 7 30359", "30359 7 4337", "4337 4337 1" ]
3869476
2 2 13 74413
[ "3869476 2 1934738", "1934738 2 967369", "967369 13 74413", "74413 74413 1" ]
557269
557269
[ "557269 557269 1" ]
2853598
2 11 151 859
[ "2853598 2 1426799", "1426799 11 129709", "129709 151 859", "859 859 1" ]
2888875
5 5 5 11 11 191
[ "2888875 5 577775", "577775 5 115555", "115555 5 23111", "23111 11 2101", "2101 11 191", "191 191 1" ]
4361959
7 139 4483
[ "4361959 7 623137", "623137 139 4483", "4483 4483 1" ]
2257337
41 55057
[ "2257337 41 55057", "55057 55057 1" ]
4526976
2 2 2 2 2 2 2 3 11789
[ "4526976 2 2263488", "2263488 2 1131744", "1131744 2 565872", "565872 2 282936", "282936 2 141468", "141468 2 70734", "70734 2 35367", "35367 3 11789", "11789 11789 1" ]
2509668
2 2 3 3 7 23 433
[ "2509668 2 1254834", "1254834 2 627417", "627417 3 209139", "209139 3 69713", "69713 7 9959", "9959 23 433", "433 433 1" ]
714535
5 142907
[ "714535 5 142907", "142907 142907 1" ]
2336312
2 2 2 11 139 191
[ "2336312 2 1168156", "1168156 2 584078", "584078 2 292039", "292039 11 26549", "26549 139 191", "191 191 1" ]
1093341
3 364447
[ "1093341 3 364447", "364447 364447 1" ]
3621033
3 3 13 30949
[ "3621033 3 1207011", "1207011 3 402337", "402337 13 30949", "30949 30949 1" ]
2439340
2 2 5 121967
[ "2439340 2 1219670", "1219670 2 609835", "609835 5 121967", "121967 121967 1" ]
7102
2 53 67
[ "7102 2 3551", "3551 53 67", "67 67 1" ]
4154013
3 3 59 7823
[ "4154013 3 1384671", "1384671 3 461557", "461557 59 7823", "7823 7823 1" ]
4123252
2 2 7 7 109 193
[ "4123252 2 2061626", "2061626 2 1030813", "1030813 7 147259", "147259 7 21037", "21037 109 193", "193 193 1" ]
1482748
2 2 370687
[ "1482748 2 741374", "741374 2 370687", "370687 370687 1" ]
3718299
3 13 67 1423
[ "3718299 3 1239433", "1239433 13 95341", "95341 67 1423", "1423 1423 1" ]
2122642
2 19 83 673
[ "2122642 2 1061321", "1061321 19 55859", "55859 83 673", "673 673 1" ]
856830
2 3 5 13 13 13 13
[ "856830 2 428415", "428415 3 142805", "142805 5 28561", "28561 13 2197", "2197 13 169", "169 13 13", "13 13 1" ]
2252015
5 450403
[ "2252015 5 450403", "450403 450403 1" ]
1811248
2 2 2 2 17 6659
[ "1811248 2 905624", "905624 2 452812", "452812 2 226406", "226406 2 113203", "113203 17 6659", "6659 6659 1" ]
4429230
2 3 5 13 41 277
[ "4429230 2 2214615", "2214615 3 738205", "738205 5 147641", "147641 13 11357", "11357 41 277", "277 277 1" ]
3088116
2 2 3 3 85781
[ "3088116 2 1544058", "1544058 2 772029", "772029 3 257343", "257343 3 85781", "85781 85781 1" ]
4757305
5 7 29 43 109
[ "4757305 5 951461", "951461 7 135923", "135923 29 4687", "4687 43 109", "109 109 1" ]
4309387
41 105107
[ "4309387 41 105107", "105107 105107 1" ]
3986346
2 3 7 7 7 13 149
[ "3986346 2 1993173", "1993173 3 664391", "664391 7 94913", "94913 7 13559", "13559 7 1937", "1937 13 149", "149 149 1" ]
2450361
3 101 8087
[ "2450361 3 816787", "816787 101 8087", "8087 8087 1" ]
2070757
13 13 12253
[ "2070757 13 159289", "159289 13 12253", "12253 12253 1" ]
3736338
2 3 622723
[ "3736338 2 1868169", "1868169 3 622723", "622723 622723 1" ]
346396
2 2 86599
[ "346396 2 173198", "173198 2 86599", "86599 86599 1" ]
1479958
2 23 32173
[ "1479958 2 739979", "739979 23 32173", "32173 32173 1" ]
2645478
2 3 3 11 31 431
[ "2645478 2 1322739", "1322739 3 440913", "440913 3 146971", "146971 11 13361", "13361 31 431", "431 431 1" ]
929940
2 2 3 5 11 1409
[ "929940 2 464970", "464970 2 232485", "232485 3 77495", "77495 5 15499", "15499 11 1409", "1409 1409 1" ]
3526896
2 2 2 2 3 73477
[ "3526896 2 1763448", "1763448 2 881724", "881724 2 440862", "440862 2 220431", "220431 3 73477", "73477 73477 1" ]
2744208
2 2 2 2 3 3 17 19 59
[ "2744208 2 1372104", "1372104 2 686052", "686052 2 343026", "343026 2 171513", "171513 3 57171", "57171 3 19057", "19057 17 1121", "1121 19 59", "59 59 1" ]
2691824
2 2 2 2 37 4547
[ "2691824 2 1345912", "1345912 2 672956", "672956 2 336478", "336478 2 168239", "168239 37 4547", "4547 4547 1" ]
1387734
2 3 231289
[ "1387734 2 693867", "693867 3 231289", "231289 231289 1" ]
97658
2 11 23 193
[ "97658 2 48829", "48829 11 4439", "4439 23 193", "193 193 1" ]
1008277
79 12763
[ "1008277 79 12763", "12763 12763 1" ]
1640252
2 2 410063
[ "1640252 2 820126", "820126 2 410063", "410063 410063 1" ]
679713
3 226571
[ "679713 3 226571", "226571 226571 1" ]
4943824
2 2 2 2 308989
[ "4943824 2 2471912", "2471912 2 1235956", "1235956 2 617978", "617978 2 308989", "308989 308989 1" ]
4203887
4203887
[ "4203887 4203887 1" ]
1328778
2 3 3 3 11 2237
[ "1328778 2 664389", "664389 3 221463", "221463 3 73821", "73821 3 24607", "24607 11 2237", "2237 2237 1" ]
3357700
2 2 5 5 33577
[ "3357700 2 1678850", "1678850 2 839425", "839425 5 167885", "167885 5 33577", "33577 33577 1" ]
168796
2 2 19 2221
[ "168796 2 84398", "84398 2 42199", "42199 19 2221", "2221 2221 1" ]
1971280
2 2 2 2 5 41 601
[ "1971280 2 985640", "985640 2 492820", "492820 2 246410", "246410 2 123205", "123205 5 24641", "24641 41 601", "601 601 1" ]
519272
2 2 2 13 4993
[ "519272 2 259636", "259636 2 129818", "129818 2 64909", "64909 13 4993", "4993 4993 1" ]
805010
2 5 79 1019
[ "805010 2 402505", "402505 5 80501", "80501 79 1019", "1019 1019 1" ]
2548569
3 849523
[ "2548569 3 849523", "849523 849523 1" ]
2077279
31 113 593
[ "2077279 31 67009", "67009 113 593", "593 593 1" ]
217626
2 3 19 23 83
[ "217626 2 108813", "108813 3 36271", "36271 19 1909", "1909 23 83", "83 83 1" ]
1384719
3 7 233 283
[ "1384719 3 461573", "461573 7 65939", "65939 233 283", "283 283 1" ]
2746184
2 2 2 7 19 29 89
[ "2746184 2 1373092", "1373092 2 686546", "686546 2 343273", "343273 7 49039", "49039 19 2581", "2581 29 89", "89 89 1" ]
1664017
1664017
[ "1664017 1664017 1" ]
4263157
4263157
[ "4263157 4263157 1" ]
2921237
11 265567
[ "2921237 11 265567", "265567 265567 1" ]
3418950
2 3 5 5 23 991
[ "3418950 2 1709475", "1709475 3 569825", "569825 5 113965", "113965 5 22793", "22793 23 991", "991 991 1" ]
4703823
3 3 211 2477
[ "4703823 3 1567941", "1567941 3 522647", "522647 211 2477", "2477 2477 1" ]
779615
5 41 3803
[ "779615 5 155923", "155923 41 3803", "3803 3803 1" ]
726292
2 2 7 25939
[ "726292 2 363146", "363146 2 181573", "181573 7 25939", "25939 25939 1" ]
303324
2 2 3 7 23 157
[ "303324 2 151662", "151662 2 75831", "75831 3 25277", "25277 7 3611", "3611 23 157", "157 157 1" ]
3180885
3 5 19 11161
[ "3180885 3 1060295", "1060295 5 212059", "212059 19 11161", "11161 11161 1" ]
37567
37567
[ "37567 37567 1" ]
3147853
3147853
[ "3147853 3147853 1" ]
1010101
73 101 137
[ "1010101 73 13837", "13837 101 137", "137 137 1" ]
2402763
3 11 17 4283
[ "2402763 3 800921", "800921 11 72811", "72811 17 4283", "4283 4283 1" ]
964873
7 13 23 461
[ "964873 7 137839", "137839 13 10603", "10603 23 461", "461 461 1" ]
59737
31 41 47
[ "59737 31 1927", "1927 41 47", "47 47 1" ]
1857184
2 2 2 2 2 7 8291
[ "1857184 2 928592", "928592 2 464296", "464296 2 232148", "232148 2 116074", "116074 2 58037", "58037 7 8291", "8291 8291 1" ]
3995448
2 2 2 3 277 601
[ "3995448 2 1997724", "1997724 2 998862", "998862 2 499431", "499431 3 166477", "166477 277 601", "601 601 1" ]
180885
3 5 31 389
[ "180885 3 60295", "60295 5 12059", "12059 31 389", "389 389 1" ]
4910567
4910567
[ "4910567 4910567 1" ]
2099580
2 2 3 5 7 4999
[ "2099580 2 1049790", "1049790 2 524895", "524895 3 174965", "174965 5 34993", "34993 7 4999", "4999 4999 1" ]