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
3550895
5 31 31 739
[ "3550895 5 710179", "710179 31 22909", "22909 31 739", "739 739 1" ]
1956271
823 2377
[ "1956271 823 2377", "2377 2377 1" ]
3144126
2 3 41 12781
[ "3144126 2 1572063", "1572063 3 524021", "524021 41 12781", "12781 12781 1" ]
4173953
7 596279
[ "4173953 7 596279", "596279 596279 1" ]
2443829
2443829
[ "2443829 2443829 1" ]
2735868
2 2 3 227989
[ "2735868 2 1367934", "1367934 2 683967", "683967 3 227989", "227989 227989 1" ]
1238608
2 2 2 2 7 11059
[ "1238608 2 619304", "619304 2 309652", "309652 2 154826", "154826 2 77413", "77413 7 11059", "11059 11059 1" ]
2914393
2914393
[ "2914393 2914393 1" ]
661716
2 2 3 3 3 11 557
[ "661716 2 330858", "330858 2 165429", "165429 3 55143", "55143 3 18381", "18381 3 6127", "6127 11 557", "557 557 1" ]
1984519
131 15149
[ "1984519 131 15149", "15149 15149 1" ]
4933799
13 23 29 569
[ "4933799 13 379523", "379523 23 16501", "16501 29 569", "569 569 1" ]
1306742
2 61 10711
[ "1306742 2 653371", "653371 61 10711", "10711 10711 1" ]
813491
7 251 463
[ "813491 7 116213", "116213 251 463", "463 463 1" ]
4040610
2 3 5 7 71 271
[ "4040610 2 2020305", "2020305 3 673435", "673435 5 134687", "134687 7 19241", "19241 71 271", "271 271 1" ]
1942606
2 61 15923
[ "1942606 2 971303", "971303 61 15923", "15923 15923 1" ]
3908730
2 3 5 7 7 2659
[ "3908730 2 1954365", "1954365 3 651455", "651455 5 130291", "130291 7 18613", "18613 7 2659", "2659 2659 1" ]
4607674
2 1423 1619
[ "4607674 2 2303837", "2303837 1423 1619", "1619 1619 1" ]
1778412
2 2 3 148201
[ "1778412 2 889206", "889206 2 444603", "444603 3 148201", "148201 148201 1" ]
1273236
2 2 3 106103
[ "1273236 2 636618", "636618 2 318309", "318309 3 106103", "106103 106103 1" ]
664594
2 7 37 1283
[ "664594 2 332297", "332297 7 47471", "47471 37 1283", "1283 1283 1" ]
3547207
3547207
[ "3547207 3547207 1" ]
4638107
1663 2789
[ "4638107 1663 2789", "2789 2789 1" ]
2209486
2 1104743
[ "2209486 2 1104743", "1104743 1104743 1" ]
1828633
1828633
[ "1828633 1828633 1" ]
1599432
2 2 2 3 66643
[ "1599432 2 799716", "799716 2 399858", "399858 2 199929", "199929 3 66643", "66643 66643 1" ]
3517143
3 7 167483
[ "3517143 3 1172381", "1172381 7 167483", "167483 167483 1" ]
2290124
2 2 251 2281
[ "2290124 2 1145062", "1145062 2 572531", "572531 251 2281", "2281 2281 1" ]
4486617
3 3 3 107 1553
[ "4486617 3 1495539", "1495539 3 498513", "498513 3 166171", "166171 107 1553", "1553 1553 1" ]
1403250
2 3 5 5 5 1871
[ "1403250 2 701625", "701625 3 233875", "233875 5 46775", "46775 5 9355", "9355 5 1871", "1871 1871 1" ]
4759657
7 679951
[ "4759657 7 679951", "679951 679951 1" ]
4752654
2 3 792109
[ "4752654 2 2376327", "2376327 3 792109", "792109 792109 1" ]
110566
2 59 937
[ "110566 2 55283", "55283 59 937", "937 937 1" ]
4857160
2 2 2 5 7 11 19 83
[ "4857160 2 2428580", "2428580 2 1214290", "1214290 2 607145", "607145 5 121429", "121429 7 17347", "17347 11 1577", "1577 19 83", "83 83 1" ]
851827
19 107 419
[ "851827 19 44833", "44833 107 419", "419 419 1" ]
3036568
2 2 2 379571
[ "3036568 2 1518284", "1518284 2 759142", "759142 2 379571", "379571 379571 1" ]
2240898
2 3 11 19 1787
[ "2240898 2 1120449", "1120449 3 373483", "373483 11 33953", "33953 19 1787", "1787 1787 1" ]
639451
639451
[ "639451 639451 1" ]
2896398
2 3 3 3 3 19 941
[ "2896398 2 1448199", "1448199 3 482733", "482733 3 160911", "160911 3 53637", "53637 3 17879", "17879 19 941", "941 941 1" ]
117637
13 9049
[ "117637 13 9049", "9049 9049 1" ]
2855036
2 2 23 31033
[ "2855036 2 1427518", "1427518 2 713759", "713759 23 31033", "31033 31033 1" ]
2643325
5 5 105733
[ "2643325 5 528665", "528665 5 105733", "105733 105733 1" ]
4270503
3 37 79 487
[ "4270503 3 1423501", "1423501 37 38473", "38473 79 487", "487 487 1" ]
662548
2 2 73 2269
[ "662548 2 331274", "331274 2 165637", "165637 73 2269", "2269 2269 1" ]
3412962
2 3 3 3 7 9029
[ "3412962 2 1706481", "1706481 3 568827", "568827 3 189609", "189609 3 63203", "63203 7 9029", "9029 9029 1" ]
2327868
2 2 3 3 64663
[ "2327868 2 1163934", "1163934 2 581967", "581967 3 193989", "193989 3 64663", "64663 64663 1" ]
1627291
17 95723
[ "1627291 17 95723", "95723 95723 1" ]
1341613
7 13 23 641
[ "1341613 7 191659", "191659 13 14743", "14743 23 641", "641 641 1" ]
4254799
4254799
[ "4254799 4254799 1" ]
1176377
1176377
[ "1176377 1176377 1" ]
488185
5 163 599
[ "488185 5 97637", "97637 163 599", "599 599 1" ]
3508029
3 3 3 3 7 23 269
[ "3508029 3 1169343", "1169343 3 389781", "389781 3 129927", "129927 3 43309", "43309 7 6187", "6187 23 269", "269 269 1" ]
2993915
5 598783
[ "2993915 5 598783", "598783 598783 1" ]
1611918
2 3 3 7 11 1163
[ "1611918 2 805959", "805959 3 268653", "268653 3 89551", "89551 7 12793", "12793 11 1163", "1163 1163 1" ]
1692512
2 2 2 2 2 227 233
[ "1692512 2 846256", "846256 2 423128", "423128 2 211564", "211564 2 105782", "105782 2 52891", "52891 227 233", "233 233 1" ]
4489240
2 2 2 5 7 16033
[ "4489240 2 2244620", "2244620 2 1122310", "1122310 2 561155", "561155 5 112231", "112231 7 16033", "16033 16033 1" ]
2573387
37 157 443
[ "2573387 37 69551", "69551 157 443", "443 443 1" ]
525863
13 19 2129
[ "525863 13 40451", "40451 19 2129", "2129 2129 1" ]
35351
23 29 53
[ "35351 23 1537", "1537 29 53", "53 53 1" ]
2314266
2 3 181 2131
[ "2314266 2 1157133", "1157133 3 385711", "385711 181 2131", "2131 2131 1" ]
4912130
2 5 491213
[ "4912130 2 2456065", "2456065 5 491213", "491213 491213 1" ]
2693124
2 2 3 3 7 10687
[ "2693124 2 1346562", "1346562 2 673281", "673281 3 224427", "224427 3 74809", "74809 7 10687", "10687 10687 1" ]
3627252
2 2 3 3 19 5303
[ "3627252 2 1813626", "1813626 2 906813", "906813 3 302271", "302271 3 100757", "100757 19 5303", "5303 5303 1" ]
4109091
3 7 7 27953
[ "4109091 3 1369697", "1369697 7 195671", "195671 7 27953", "27953 27953 1" ]
4763091
3 19 83563
[ "4763091 3 1587697", "1587697 19 83563", "83563 83563 1" ]
1778998
2 13 53 1291
[ "1778998 2 889499", "889499 13 68423", "68423 53 1291", "1291 1291 1" ]
507224
2 2 2 19 47 71
[ "507224 2 253612", "253612 2 126806", "126806 2 63403", "63403 19 3337", "3337 47 71", "71 71 1" ]
2482442
2 17 73013
[ "2482442 2 1241221", "1241221 17 73013", "73013 73013 1" ]
4028001
3 1342667
[ "4028001 3 1342667", "1342667 1342667 1" ]
4331249
13 59 5647
[ "4331249 13 333173", "333173 59 5647", "5647 5647 1" ]
4095324
2 2 3 3 113759
[ "4095324 2 2047662", "2047662 2 1023831", "1023831 3 341277", "341277 3 113759", "113759 113759 1" ]
4215510
2 3 3 3 5 13 1201
[ "4215510 2 2107755", "2107755 3 702585", "702585 3 234195", "234195 3 78065", "78065 5 15613", "15613 13 1201", "1201 1201 1" ]
4552990
2 5 13 35023
[ "4552990 2 2276495", "2276495 5 455299", "455299 13 35023", "35023 35023 1" ]
217685
5 13 17 197
[ "217685 5 43537", "43537 13 3349", "3349 17 197", "197 197 1" ]
249702
2 3 41617
[ "249702 2 124851", "124851 3 41617", "41617 41617 1" ]
2020572
2 2 3 3 3 53 353
[ "2020572 2 1010286", "1010286 2 505143", "505143 3 168381", "168381 3 56127", "56127 3 18709", "18709 53 353", "353 353 1" ]
3678817
17 216401
[ "3678817 17 216401", "216401 216401 1" ]
2499218
2 131 9539
[ "2499218 2 1249609", "1249609 131 9539", "9539 9539 1" ]
1653542
2 11 75161
[ "1653542 2 826771", "826771 11 75161", "75161 75161 1" ]
4487195
5 103 8713
[ "4487195 5 897439", "897439 103 8713", "8713 8713 1" ]
4172610
2 3 5 13 13 823
[ "4172610 2 2086305", "2086305 3 695435", "695435 5 139087", "139087 13 10699", "10699 13 823", "823 823 1" ]
59147
11 19 283
[ "59147 11 5377", "5377 19 283", "283 283 1" ]
172775
5 5 6911
[ "172775 5 34555", "34555 5 6911", "6911 6911 1" ]
2901649
2901649
[ "2901649 2901649 1" ]
2286550
2 5 5 7 47 139
[ "2286550 2 1143275", "1143275 5 228655", "228655 5 45731", "45731 7 6533", "6533 47 139", "139 139 1" ]
3768706
2 1884353
[ "3768706 2 1884353", "1884353 1884353 1" ]
4766569
283 16843
[ "4766569 283 16843", "16843 16843 1" ]
2755788
2 2 3 7 53 619
[ "2755788 2 1377894", "1377894 2 688947", "688947 3 229649", "229649 7 32807", "32807 53 619", "619 619 1" ]
1363803
3 7 101 643
[ "1363803 3 454601", "454601 7 64943", "64943 101 643", "643 643 1" ]
1533886
2 766943
[ "1533886 2 766943", "766943 766943 1" ]
4601797
659 6983
[ "4601797 659 6983", "6983 6983 1" ]
1380900
2 2 3 5 5 4603
[ "1380900 2 690450", "690450 2 345225", "345225 3 115075", "115075 5 23015", "23015 5 4603", "4603 4603 1" ]
4553156
2 2 31 73 503
[ "4553156 2 2276578", "2276578 2 1138289", "1138289 31 36719", "36719 73 503", "503 503 1" ]
2279567
2279567
[ "2279567 2279567 1" ]
4295185
5 859037
[ "4295185 5 859037", "859037 859037 1" ]
3719193
3 19 71 919
[ "3719193 3 1239731", "1239731 19 65249", "65249 71 919", "919 919 1" ]
3264317
7 466331
[ "3264317 7 466331", "466331 466331 1" ]
878070
2 3 5 29269
[ "878070 2 439035", "439035 3 146345", "146345 5 29269", "29269 29269 1" ]
3866938
2 1933469
[ "3866938 2 1933469", "1933469 1933469 1" ]
3953563
431 9173
[ "3953563 431 9173", "9173 9173 1" ]
4278293
113 37861
[ "4278293 113 37861", "37861 37861 1" ]