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
4769868
2 2 3 397489
[ "4769868 2 2384934", "2384934 2 1192467", "1192467 3 397489", "397489 397489 1" ]
3176777
47 257 263
[ "3176777 47 67591", "67591 257 263", "263 263 1" ]
1106145
3 3 5 47 523
[ "1106145 3 368715", "368715 3 122905", "122905 5 24581", "24581 47 523", "523 523 1" ]
2699251
641 4211
[ "2699251 641 4211", "4211 4211 1" ]
1932081
3 607 1061
[ "1932081 3 644027", "644027 607 1061", "1061 1061 1" ]
599330
2 5 73 821
[ "599330 2 299665", "299665 5 59933", "59933 73 821", "821 821 1" ]
3735667
13 113 2543
[ "3735667 13 287359", "287359 113 2543", "2543 2543 1" ]
1838355
3 5 122557
[ "1838355 3 612785", "612785 5 122557", "122557 122557 1" ]
1525945
5 103 2963
[ "1525945 5 305189", "305189 103 2963", "2963 2963 1" ]
2018985
3 5 281 479
[ "2018985 3 672995", "672995 5 134599", "134599 281 479", "479 479 1" ]
3486789
3 3 47 8243
[ "3486789 3 1162263", "1162263 3 387421", "387421 47 8243", "8243 8243 1" ]
1541601
3 3 103 1663
[ "1541601 3 513867", "513867 3 171289", "171289 103 1663", "1663 1663 1" ]
955404
2 2 3 3 26539
[ "955404 2 477702", "477702 2 238851", "238851 3 79617", "79617 3 26539", "26539 26539 1" ]
203166
2 3 3 11287
[ "203166 2 101583", "101583 3 33861", "33861 3 11287", "11287 11287 1" ]
3405825
3 3 5 5 15137
[ "3405825 3 1135275", "1135275 3 378425", "378425 5 75685", "75685 5 15137", "15137 15137 1" ]
1866743
521 3583
[ "1866743 521 3583", "3583 3583 1" ]
870896
2 2 2 2 13 53 79
[ "870896 2 435448", "435448 2 217724", "217724 2 108862", "108862 2 54431", "54431 13 4187", "4187 53 79", "79 79 1" ]
4469442
2 3 577 1291
[ "4469442 2 2234721", "2234721 3 744907", "744907 577 1291", "1291 1291 1" ]
1304043
3 13 29 1153
[ "1304043 3 434681", "434681 13 33437", "33437 29 1153", "1153 1153 1" ]
1585572
2 2 3 71 1861
[ "1585572 2 792786", "792786 2 396393", "396393 3 132131", "132131 71 1861", "1861 1861 1" ]
669168
2 2 2 2 3 3 3 1549
[ "669168 2 334584", "334584 2 167292", "167292 2 83646", "83646 2 41823", "41823 3 13941", "13941 3 4647", "4647 3 1549", "1549 1549 1" ]
3055593
3 809 1259
[ "3055593 3 1018531", "1018531 809 1259", "1259 1259 1" ]
3873143
1471 2633
[ "3873143 1471 2633", "2633 2633 1" ]
3585565
5 717113
[ "3585565 5 717113", "717113 717113 1" ]
4537395
3 3 5 59 1709
[ "4537395 3 1512465", "1512465 3 504155", "504155 5 100831", "100831 59 1709", "1709 1709 1" ]
4361824
2 2 2 2 2 31 4397
[ "4361824 2 2180912", "2180912 2 1090456", "1090456 2 545228", "545228 2 272614", "272614 2 136307", "136307 31 4397", "4397 4397 1" ]
503865
3 3 5 11197
[ "503865 3 167955", "167955 3 55985", "55985 5 11197", "11197 11197 1" ]
3728501
7 29 18367
[ "3728501 7 532643", "532643 29 18367", "18367 18367 1" ]
2909727
3 3 271 1193
[ "2909727 3 969909", "969909 3 323303", "323303 271 1193", "1193 1193 1" ]
4125846
2 3 687641
[ "4125846 2 2062923", "2062923 3 687641", "687641 687641 1" ]
3807567
3 3 3 3 3 3 3 1741
[ "3807567 3 1269189", "1269189 3 423063", "423063 3 141021", "141021 3 47007", "47007 3 15669", "15669 3 5223", "5223 3 1741", "1741 1741 1" ]
1966131
3 3 218459
[ "1966131 3 655377", "655377 3 218459", "218459 218459 1" ]
4956020
2 2 5 383 647
[ "4956020 2 2478010", "2478010 2 1239005", "1239005 5 247801", "247801 383 647", "647 647 1" ]
324871
324871
[ "324871 324871 1" ]
3796225
5 5 151849
[ "3796225 5 759245", "759245 5 151849", "151849 151849 1" ]
1175899
1175899
[ "1175899 1175899 1" ]
3654805
5 7 11 11 863
[ "3654805 5 730961", "730961 7 104423", "104423 11 9493", "9493 11 863", "863 863 1" ]
4930862
2 2465431
[ "4930862 2 2465431", "2465431 2465431 1" ]
3702885
3 5 23 10733
[ "3702885 3 1234295", "1234295 5 246859", "246859 23 10733", "10733 10733 1" ]
2127820
2 2 5 106391
[ "2127820 2 1063910", "1063910 2 531955", "531955 5 106391", "106391 106391 1" ]
4225658
2 2112829
[ "4225658 2 2112829", "2112829 2112829 1" ]
3959037
3 3 3 3 37 1321
[ "3959037 3 1319679", "1319679 3 439893", "439893 3 146631", "146631 3 48877", "48877 37 1321", "1321 1321 1" ]
1338333
3 446111
[ "1338333 3 446111", "446111 446111 1" ]
423765
3 3 3 5 43 73
[ "423765 3 141255", "141255 3 47085", "47085 3 15695", "15695 5 3139", "3139 43 73", "73 73 1" ]
3003947
41 41 1787
[ "3003947 41 73267", "73267 41 1787", "1787 1787 1" ]
4213630
2 5 19 67 331
[ "4213630 2 2106815", "2106815 5 421363", "421363 19 22177", "22177 67 331", "331 331 1" ]
4921712
2 2 2 2 139 2213
[ "4921712 2 2460856", "2460856 2 1230428", "1230428 2 615214", "615214 2 307607", "307607 139 2213", "2213 2213 1" ]
45698
2 73 313
[ "45698 2 22849", "22849 73 313", "313 313 1" ]
2596220
2 2 5 11 11801
[ "2596220 2 1298110", "1298110 2 649055", "649055 5 129811", "129811 11 11801", "11801 11801 1" ]
1125215
5 7 13 2473
[ "1125215 5 225043", "225043 7 32149", "32149 13 2473", "2473 2473 1" ]
19777
19777
[ "19777 19777 1" ]
4373115
3 5 47 6203
[ "4373115 3 1457705", "1457705 5 291541", "291541 47 6203", "6203 6203 1" ]
3059855
5 19 31 1039
[ "3059855 5 611971", "611971 19 32209", "32209 31 1039", "1039 1039 1" ]
3570540
2 2 3 5 59509
[ "3570540 2 1785270", "1785270 2 892635", "892635 3 297545", "297545 5 59509", "59509 59509 1" ]
1477200
2 2 2 2 3 5 5 1231
[ "1477200 2 738600", "738600 2 369300", "369300 2 184650", "184650 2 92325", "92325 3 30775", "30775 5 6155", "6155 5 1231", "1231 1231 1" ]
2428373
29 83737
[ "2428373 29 83737", "83737 83737 1" ]
1486842
2 3 7 35401
[ "1486842 2 743421", "743421 3 247807", "247807 7 35401", "35401 35401 1" ]
353487
3 23 47 109
[ "353487 3 117829", "117829 23 5123", "5123 47 109", "109 109 1" ]
232580
2 2 5 29 401
[ "232580 2 116290", "116290 2 58145", "58145 5 11629", "11629 29 401", "401 401 1" ]
684339
3 228113
[ "684339 3 228113", "228113 228113 1" ]
2339909
11 13 16363
[ "2339909 11 212719", "212719 13 16363", "16363 16363 1" ]
1897750
2 5 5 5 7591
[ "1897750 2 948875", "948875 5 189775", "189775 5 37955", "37955 5 7591", "7591 7591 1" ]
2054236
2 2 61 8419
[ "2054236 2 1027118", "1027118 2 513559", "513559 61 8419", "8419 8419 1" ]
4182208
2 2 2 2 2 2 101 647
[ "4182208 2 2091104", "2091104 2 1045552", "1045552 2 522776", "522776 2 261388", "261388 2 130694", "130694 2 65347", "65347 101 647", "647 647 1" ]
3848470
2 5 384847
[ "3848470 2 1924235", "1924235 5 384847", "384847 384847 1" ]
1261221
3 13 73 443
[ "1261221 3 420407", "420407 13 32339", "32339 73 443", "443 443 1" ]
512055
3 3 3 5 3793
[ "512055 3 170685", "170685 3 56895", "56895 3 18965", "18965 5 3793", "3793 3793 1" ]
1771995
3 5 17 6949
[ "1771995 3 590665", "590665 5 118133", "118133 17 6949", "6949 6949 1" ]
4204571
7 197 3049
[ "4204571 7 600653", "600653 197 3049", "3049 3049 1" ]
1670062
2 19 71 619
[ "1670062 2 835031", "835031 19 43949", "43949 71 619", "619 619 1" ]
4003882
2 383 5227
[ "4003882 2 2001941", "2001941 383 5227", "5227 5227 1" ]
1745958
2 3 290993
[ "1745958 2 872979", "872979 3 290993", "290993 290993 1" ]
3833827
1789 2143
[ "3833827 1789 2143", "2143 2143 1" ]
2475224
2 2 2 309403
[ "2475224 2 1237612", "1237612 2 618806", "618806 2 309403", "309403 309403 1" ]
4061711
29 227 617
[ "4061711 29 140059", "140059 227 617", "617 617 1" ]
1115073
3 3 3 41299
[ "1115073 3 371691", "371691 3 123897", "123897 3 41299", "41299 41299 1" ]
3842432
2 2 2 2 2 2 2 11 2729
[ "3842432 2 1921216", "1921216 2 960608", "960608 2 480304", "480304 2 240152", "240152 2 120076", "120076 2 60038", "60038 2 30019", "30019 11 2729", "2729 2729 1" ]
3449731
3449731
[ "3449731 3449731 1" ]
4857793
31 156703
[ "4857793 31 156703", "156703 156703 1" ]
4834536
2 2 2 3 7 7 4111
[ "4834536 2 2417268", "2417268 2 1208634", "1208634 2 604317", "604317 3 201439", "201439 7 28777", "28777 7 4111", "4111 4111 1" ]
1934599
19 19 23 233
[ "1934599 19 101821", "101821 19 5359", "5359 23 233", "233 233 1" ]
1596236
2 2 399059
[ "1596236 2 798118", "798118 2 399059", "399059 399059 1" ]
4594753
4594753
[ "4594753 4594753 1" ]
4616641
41 112601
[ "4616641 41 112601", "112601 112601 1" ]
2333323
2333323
[ "2333323 2333323 1" ]
1310760
2 2 2 3 3 5 11 331
[ "1310760 2 655380", "655380 2 327690", "327690 2 163845", "163845 3 54615", "54615 3 18205", "18205 5 3641", "3641 11 331", "331 331 1" ]
603687
3 7 17 19 89
[ "603687 3 201229", "201229 7 28747", "28747 17 1691", "1691 19 89", "89 89 1" ]
1574887
59 26693
[ "1574887 59 26693", "26693 26693 1" ]
1135045
5 137 1657
[ "1135045 5 227009", "227009 137 1657", "1657 1657 1" ]
2322241
23 31 3257
[ "2322241 23 100967", "100967 31 3257", "3257 3257 1" ]
3505479
3 1168493
[ "3505479 3 1168493", "1168493 1168493 1" ]
4595198
2 41 56039
[ "4595198 2 2297599", "2297599 41 56039", "56039 56039 1" ]
3220840
2 2 2 5 7 11503
[ "3220840 2 1610420", "1610420 2 805210", "805210 2 402605", "402605 5 80521", "80521 7 11503", "11503 11503 1" ]
1265951
19 66629
[ "1265951 19 66629", "66629 66629 1" ]
917491
19 43 1123
[ "917491 19 48289", "48289 43 1123", "1123 1123 1" ]
1408743
3 3 7 59 379
[ "1408743 3 469581", "469581 3 156527", "156527 7 22361", "22361 59 379", "379 379 1" ]
3087531
3 3 3 173 661
[ "3087531 3 1029177", "1029177 3 343059", "343059 3 114353", "114353 173 661", "661 661 1" ]
627221
7 89603
[ "627221 7 89603", "89603 89603 1" ]
391384
2 2 2 7 29 241
[ "391384 2 195692", "195692 2 97846", "97846 2 48923", "48923 7 6989", "6989 29 241", "241 241 1" ]
148312
2 2 2 18539
[ "148312 2 74156", "74156 2 37078", "37078 2 18539", "18539 18539 1" ]