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
712998
2 3 3 11 13 277
[ "712998 2 356499", "356499 3 118833", "118833 3 39611", "39611 11 3601", "3601 13 277", "277 277 1" ]
2680910
2 5 268091
[ "2680910 2 1340455", "1340455 5 268091", "268091 268091 1" ]
1943682
2 3 13 24919
[ "1943682 2 971841", "971841 3 323947", "323947 13 24919", "24919 24919 1" ]
4254279
3 1418093
[ "4254279 3 1418093", "1418093 1418093 1" ]
625200
2 2 2 2 3 5 5 521
[ "625200 2 312600", "312600 2 156300", "156300 2 78150", "78150 2 39075", "39075 3 13025", "13025 5 2605", "2605 5 521", "521 521 1" ]
1959811
7 17 43 383
[ "1959811 7 279973", "279973 17 16469", "16469 43 383", "383 383 1" ]
551994
2 3 197 467
[ "551994 2 275997", "275997 3 91999", "91999 197 467", "467 467 1" ]
4562893
4562893
[ "4562893 4562893 1" ]
333013
17 19 1031
[ "333013 17 19589", "19589 19 1031", "1031 1031 1" ]
2946795
3 5 196453
[ "2946795 3 982265", "982265 5 196453", "196453 196453 1" ]
4100496
2 2 2 2 3 85427
[ "4100496 2 2050248", "2050248 2 1025124", "1025124 2 512562", "512562 2 256281", "256281 3 85427", "85427 85427 1" ]
1443312
2 2 2 2 3 3 3 13 257
[ "1443312 2 721656", "721656 2 360828", "360828 2 180414", "180414 2 90207", "90207 3 30069", "30069 3 10023", "10023 3 3341", "3341 13 257", "257 257 1" ]
3813556
2 2 127 7507
[ "3813556 2 1906778", "1906778 2 953389", "953389 127 7507", "7507 7507 1" ]
858224
2 2 2 2 53639
[ "858224 2 429112", "429112 2 214556", "214556 2 107278", "107278 2 53639", "53639 53639 1" ]
147334
2 11 37 181
[ "147334 2 73667", "73667 11 6697", "6697 37 181", "181 181 1" ]
4714973
4714973
[ "4714973 4714973 1" ]
3076368
2 2 2 2 3 64091
[ "3076368 2 1538184", "1538184 2 769092", "769092 2 384546", "384546 2 192273", "192273 3 64091", "64091 64091 1" ]
2498141
89 28069
[ "2498141 89 28069", "28069 28069 1" ]
4654346
2 2327173
[ "4654346 2 2327173", "2327173 2327173 1" ]
267221
353 757
[ "267221 353 757", "757 757 1" ]
3983532
2 2 3 7 47 1009
[ "3983532 2 1991766", "1991766 2 995883", "995883 3 331961", "331961 7 47423", "47423 47 1009", "1009 1009 1" ]
3615914
2 1807957
[ "3615914 2 1807957", "1807957 1807957 1" ]
3409258
2 421 4049
[ "3409258 2 1704629", "1704629 421 4049", "4049 4049 1" ]
1248975
3 3 5 5 7 13 61
[ "1248975 3 416325", "416325 3 138775", "138775 5 27755", "27755 5 5551", "5551 7 793", "793 13 61", "61 61 1" ]
392395
5 78479
[ "392395 5 78479", "78479 78479 1" ]
3219678
2 3 3 7 11 23 101
[ "3219678 2 1609839", "1609839 3 536613", "536613 3 178871", "178871 7 25553", "25553 11 2323", "2323 23 101", "101 101 1" ]
960540
2 2 3 5 7 2287
[ "960540 2 480270", "480270 2 240135", "240135 3 80045", "80045 5 16009", "16009 7 2287", "2287 2287 1" ]
493466
2 251 983
[ "493466 2 246733", "246733 251 983", "983 983 1" ]
3220696
2 2 2 402587
[ "3220696 2 1610348", "1610348 2 805174", "805174 2 402587", "402587 402587 1" ]
508119
3 169373
[ "508119 3 169373", "169373 169373 1" ]
3478897
17 204641
[ "3478897 17 204641", "204641 204641 1" ]
1435433
211 6803
[ "1435433 211 6803", "6803 6803 1" ]
3640192
2 2 2 2 2 2 2 28439
[ "3640192 2 1820096", "1820096 2 910048", "910048 2 455024", "455024 2 227512", "227512 2 113756", "113756 2 56878", "56878 2 28439", "28439 28439 1" ]
3631450
2 5 5 59 1231
[ "3631450 2 1815725", "1815725 5 363145", "363145 5 72629", "72629 59 1231", "1231 1231 1" ]
2495656
2 2 2 311957
[ "2495656 2 1247828", "1247828 2 623914", "623914 2 311957", "311957 311957 1" ]
3992376
2 2 2 3 166349
[ "3992376 2 1996188", "1996188 2 998094", "998094 2 499047", "499047 3 166349", "166349 166349 1" ]
3042790
2 5 304279
[ "3042790 2 1521395", "1521395 5 304279", "304279 304279 1" ]
4481693
17 113 2333
[ "4481693 17 263629", "263629 113 2333", "2333 2333 1" ]
955253
13 197 373
[ "955253 13 73481", "73481 197 373", "373 373 1" ]
4498493
4498493
[ "4498493 4498493 1" ]
3224017
29 107 1039
[ "3224017 29 111173", "111173 107 1039", "1039 1039 1" ]
389742
2 3 17 3821
[ "389742 2 194871", "194871 3 64957", "64957 17 3821", "3821 3821 1" ]
2901954
2 3 11 43969
[ "2901954 2 1450977", "1450977 3 483659", "483659 11 43969", "43969 43969 1" ]
2520263
2520263
[ "2520263 2520263 1" ]
2052826
2 1026413
[ "2052826 2 1026413", "1026413 1026413 1" ]
644299
23 109 257
[ "644299 23 28013", "28013 109 257", "257 257 1" ]
3540369
3 7 17 47 211
[ "3540369 3 1180123", "1180123 7 168589", "168589 17 9917", "9917 47 211", "211 211 1" ]
3170510
2 5 7 45293
[ "3170510 2 1585255", "1585255 5 317051", "317051 7 45293", "45293 45293 1" ]
3810238
2 211 9029
[ "3810238 2 1905119", "1905119 211 9029", "9029 9029 1" ]
2507577
3 835859
[ "2507577 3 835859", "835859 835859 1" ]
1792323
3 3 13 15319
[ "1792323 3 597441", "597441 3 199147", "199147 13 15319", "15319 15319 1" ]
1278571
7 182653
[ "1278571 7 182653", "182653 182653 1" ]
3023695
5 23 26293
[ "3023695 5 604739", "604739 23 26293", "26293 26293 1" ]
4291250
2 5 5 5 5 3433
[ "4291250 2 2145625", "2145625 5 429125", "429125 5 85825", "85825 5 17165", "17165 5 3433", "3433 3433 1" ]
236963
17 53 263
[ "236963 17 13939", "13939 53 263", "263 263 1" ]
2203240
2 2 2 5 13 19 223
[ "2203240 2 1101620", "1101620 2 550810", "550810 2 275405", "275405 5 55081", "55081 13 4237", "4237 19 223", "223 223 1" ]
93208
2 2 2 61 191
[ "93208 2 46604", "46604 2 23302", "23302 2 11651", "11651 61 191", "191 191 1" ]
377596
2 2 94399
[ "377596 2 188798", "188798 2 94399", "94399 94399 1" ]
1309538
2 563 1163
[ "1309538 2 654769", "654769 563 1163", "1163 1163 1" ]
787237
11 59 1213
[ "787237 11 71567", "71567 59 1213", "1213 1213 1" ]
4807623
3 71 22571
[ "4807623 3 1602541", "1602541 71 22571", "22571 22571 1" ]
1251197
41 30517
[ "1251197 41 30517", "30517 30517 1" ]
3843526
2 1921763
[ "3843526 2 1921763", "1921763 1921763 1" ]
597932
2 2 83 1801
[ "597932 2 298966", "298966 2 149483", "149483 83 1801", "1801 1801 1" ]
2251197
3 3 13 71 271
[ "2251197 3 750399", "750399 3 250133", "250133 13 19241", "19241 71 271", "271 271 1" ]
289382
2 257 563
[ "289382 2 144691", "144691 257 563", "563 563 1" ]
3800020
2 2 5 7 27143
[ "3800020 2 1900010", "1900010 2 950005", "950005 5 190001", "190001 7 27143", "27143 27143 1" ]
1871781
3 211 2957
[ "1871781 3 623927", "623927 211 2957", "2957 2957 1" ]
995358
2 3 7 13 1823
[ "995358 2 497679", "497679 3 165893", "165893 7 23699", "23699 13 1823", "1823 1823 1" ]
4812039
3 3 534671
[ "4812039 3 1604013", "1604013 3 534671", "534671 534671 1" ]
1723368
2 2 2 3 71807
[ "1723368 2 861684", "861684 2 430842", "430842 2 215421", "215421 3 71807", "71807 71807 1" ]
1236909
3 412303
[ "1236909 3 412303", "412303 412303 1" ]
3362400
2 2 2 2 2 3 3 5 5 467
[ "3362400 2 1681200", "1681200 2 840600", "840600 2 420300", "420300 2 210150", "210150 2 105075", "105075 3 35025", "35025 3 11675", "11675 5 2335", "2335 5 467", "467 467 1" ]
2601366
2 3 19 19 1201
[ "2601366 2 1300683", "1300683 3 433561", "433561 19 22819", "22819 19 1201", "1201 1201 1" ]
4919776
2 2 2 2 2 153743
[ "4919776 2 2459888", "2459888 2 1229944", "1229944 2 614972", "614972 2 307486", "307486 2 153743", "153743 153743 1" ]
4928624
2 2 2 2 23 59 227
[ "4928624 2 2464312", "2464312 2 1232156", "1232156 2 616078", "616078 2 308039", "308039 23 13393", "13393 59 227", "227 227 1" ]
4859949
3 1619983
[ "4859949 3 1619983", "1619983 1619983 1" ]
4768707
3 1589569
[ "4768707 3 1589569", "1589569 1589569 1" ]
3528752
2 2 2 2 23 43 223
[ "3528752 2 1764376", "1764376 2 882188", "882188 2 441094", "441094 2 220547", "220547 23 9589", "9589 43 223", "223 223 1" ]
652698
2 3 3 3 3 3 17 79
[ "652698 2 326349", "326349 3 108783", "108783 3 36261", "36261 3 12087", "12087 3 4029", "4029 3 1343", "1343 17 79", "79 79 1" ]
1320374
2 11 60017
[ "1320374 2 660187", "660187 11 60017", "60017 60017 1" ]
1376838
2 3 3 3 3 3 2833
[ "1376838 2 688419", "688419 3 229473", "229473 3 76491", "76491 3 25497", "25497 3 8499", "8499 3 2833", "2833 2833 1" ]
2186025
3 5 5 29147
[ "2186025 3 728675", "728675 5 145735", "145735 5 29147", "29147 29147 1" ]
230435
5 17 2711
[ "230435 5 46087", "46087 17 2711", "2711 2711 1" ]
2206032
2 2 2 2 3 45959
[ "2206032 2 1103016", "1103016 2 551508", "551508 2 275754", "275754 2 137877", "137877 3 45959", "45959 45959 1" ]
1817171
1277 1423
[ "1817171 1277 1423", "1423 1423 1" ]
4394038
2 11 199729
[ "4394038 2 2197019", "2197019 11 199729", "199729 199729 1" ]
1900843
7 271549
[ "1900843 7 271549", "271549 271549 1" ]
2754079
1621 1699
[ "2754079 1621 1699", "1699 1699 1" ]
4808212
2 2 17 70709
[ "4808212 2 2404106", "2404106 2 1202053", "1202053 17 70709", "70709 70709 1" ]
2055154
2 19 54083
[ "2055154 2 1027577", "1027577 19 54083", "54083 54083 1" ]
248450
2 5 5 4969
[ "248450 2 124225", "124225 5 24845", "24845 5 4969", "4969 4969 1" ]
285379
17 16787
[ "285379 17 16787", "16787 16787 1" ]
3565856
2 2 2 2 2 7 15919
[ "3565856 2 1782928", "1782928 2 891464", "891464 2 445732", "445732 2 222866", "222866 2 111433", "111433 7 15919", "15919 15919 1" ]
1400754
2 3 157 1487
[ "1400754 2 700377", "700377 3 233459", "233459 157 1487", "1487 1487 1" ]
4251359
7 607337
[ "4251359 7 607337", "607337 607337 1" ]
505047
3 79 2131
[ "505047 3 168349", "168349 79 2131", "2131 2131 1" ]
2928535
5 293 1999
[ "2928535 5 585707", "585707 293 1999", "1999 1999 1" ]
2202801
3 734267
[ "2202801 3 734267", "734267 734267 1" ]
4440678
2 3 11 61 1103
[ "4440678 2 2220339", "2220339 3 740113", "740113 11 67283", "67283 61 1103", "1103 1103 1" ]