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
3839008
2 2 2 2 2 17 7057
[ "3839008 2 1919504", "1919504 2 959752", "959752 2 479876", "479876 2 239938", "239938 2 119969", "119969 17 7057", "7057 7057 1" ]
2140625
5 5 5 5 5 5 137
[ "2140625 5 428125", "428125 5 85625", "85625 5 17125", "17125 5 3425", "3425 5 685", "685 5 137", "137 137 1" ]
4300614
2 3 3 3 3 3 8849
[ "4300614 2 2150307", "2150307 3 716769", "716769 3 238923", "238923 3 79641", "79641 3 26547", "26547 3 8849", "8849 8849 1" ]
804561
3 373 719
[ "804561 3 268187", "268187 373 719", "719 719 1" ]
1695231
3 3 188359
[ "1695231 3 565077", "565077 3 188359", "188359 188359 1" ]
4966899
3 7 236519
[ "4966899 3 1655633", "1655633 7 236519", "236519 236519 1" ]
3806993
101 37693
[ "3806993 101 37693", "37693 37693 1" ]
93377
93377
[ "93377 93377 1" ]
3500785
5 41 17077
[ "3500785 5 700157", "700157 41 17077", "17077 17077 1" ]
2382371
2382371
[ "2382371 2382371 1" ]
1215966
2 3 202661
[ "1215966 2 607983", "607983 3 202661", "202661 202661 1" ]
1230089
7 175727
[ "1230089 7 175727", "175727 175727 1" ]
1891657
1891657
[ "1891657 1891657 1" ]
4671258
2 3 61 12763
[ "4671258 2 2335629", "2335629 3 778543", "778543 61 12763", "12763 12763 1" ]
1334752
2 2 2 2 2 53 787
[ "1334752 2 667376", "667376 2 333688", "333688 2 166844", "166844 2 83422", "83422 2 41711", "41711 53 787", "787 787 1" ]
4376646
2 3 3 3 81049
[ "4376646 2 2188323", "2188323 3 729441", "729441 3 243147", "243147 3 81049", "81049 81049 1" ]
2835561
3 787 1201
[ "2835561 3 945187", "945187 787 1201", "1201 1201 1" ]
719392
2 2 2 2 2 22481
[ "719392 2 359696", "359696 2 179848", "179848 2 89924", "89924 2 44962", "44962 2 22481", "22481 22481 1" ]
401408
2 2 2 2 2 2 2 2 2 2 2 2 2 7 7
[ "401408 2 200704", "200704 2 100352", "100352 2 50176", "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" ]
1342664
2 2 2 157 1069
[ "1342664 2 671332", "671332 2 335666", "335666 2 167833", "167833 157 1069", "1069 1069 1" ]
108193
108193
[ "108193 108193 1" ]
3267294
2 3 544549
[ "3267294 2 1633647", "1633647 3 544549", "544549 544549 1" ]
2330997
3 67 11597
[ "2330997 3 776999", "776999 67 11597", "11597 11597 1" ]
859438
2 429719
[ "859438 2 429719", "429719 429719 1" ]
4499241
3 751 1997
[ "4499241 3 1499747", "1499747 751 1997", "1997 1997 1" ]
3045047
3045047
[ "3045047 3045047 1" ]
875210
2 5 7 12503
[ "875210 2 437605", "437605 5 87521", "87521 7 12503", "12503 12503 1" ]
669834
2 3 3 11 17 199
[ "669834 2 334917", "334917 3 111639", "111639 3 37213", "37213 11 3383", "3383 17 199", "199 199 1" ]
4119633
3 3 3 7 71 307
[ "4119633 3 1373211", "1373211 3 457737", "457737 3 152579", "152579 7 21797", "21797 71 307", "307 307 1" ]
2007773
2007773
[ "2007773 2007773 1" ]
3705255
3 3 5 82339
[ "3705255 3 1235085", "1235085 3 411695", "411695 5 82339", "82339 82339 1" ]
3338212
2 2 89 9377
[ "3338212 2 1669106", "1669106 2 834553", "834553 89 9377", "9377 9377 1" ]
3121108
2 2 223 3499
[ "3121108 2 1560554", "1560554 2 780277", "780277 223 3499", "3499 3499 1" ]
886049
191 4639
[ "886049 191 4639", "4639 4639 1" ]
834592
2 2 2 2 2 11 2371
[ "834592 2 417296", "417296 2 208648", "208648 2 104324", "104324 2 52162", "52162 2 26081", "26081 11 2371", "2371 2371 1" ]
2817339
3 7 19 23 307
[ "2817339 3 939113", "939113 7 134159", "134159 19 7061", "7061 23 307", "307 307 1" ]
4447126
2 2223563
[ "4447126 2 2223563", "2223563 2223563 1" ]
2874127
107 26861
[ "2874127 107 26861", "26861 26861 1" ]
3705830
2 5 17 21799
[ "3705830 2 1852915", "1852915 5 370583", "370583 17 21799", "21799 21799 1" ]
2376718
2 1188359
[ "2376718 2 1188359", "1188359 1188359 1" ]
2545400
2 2 2 5 5 11 13 89
[ "2545400 2 1272700", "1272700 2 636350", "636350 2 318175", "318175 5 63635", "63635 5 12727", "12727 11 1157", "1157 13 89", "89 89 1" ]
4056841
983 4127
[ "4056841 983 4127", "4127 4127 1" ]
4050984
2 2 2 3 7 24113
[ "4050984 2 2025492", "2025492 2 1012746", "1012746 2 506373", "506373 3 168791", "168791 7 24113", "24113 24113 1" ]
4850252
2 2 11 110233
[ "4850252 2 2425126", "2425126 2 1212563", "1212563 11 110233", "110233 110233 1" ]
148861
148861
[ "148861 148861 1" ]
1289724
2 2 3 31 3467
[ "1289724 2 644862", "644862 2 322431", "322431 3 107477", "107477 31 3467", "3467 3467 1" ]
1965554
2 982777
[ "1965554 2 982777", "982777 982777 1" ]
2034840
2 2 2 3 5 31 547
[ "2034840 2 1017420", "1017420 2 508710", "508710 2 254355", "254355 3 84785", "84785 5 16957", "16957 31 547", "547 547 1" ]
3899063
7 653 853
[ "3899063 7 557009", "557009 653 853", "853 853 1" ]
2335309
19 19 6469
[ "2335309 19 122911", "122911 19 6469", "6469 6469 1" ]
1195511
107 11173
[ "1195511 107 11173", "11173 11173 1" ]
4596403
7 269 2441
[ "4596403 7 656629", "656629 269 2441", "2441 2441 1" ]
661466
2 13 13 19 103
[ "661466 2 330733", "330733 13 25441", "25441 13 1957", "1957 19 103", "103 103 1" ]
103321
277 373
[ "103321 277 373", "373 373 1" ]
1778208
2 2 2 2 2 3 18523
[ "1778208 2 889104", "889104 2 444552", "444552 2 222276", "222276 2 111138", "111138 2 55569", "55569 3 18523", "18523 18523 1" ]
2756389
23 37 41 79
[ "2756389 23 119843", "119843 37 3239", "3239 41 79", "79 79 1" ]
280334
2 140167
[ "280334 2 140167", "140167 140167 1" ]
3690590
2 5 181 2039
[ "3690590 2 1845295", "1845295 5 369059", "369059 181 2039", "2039 2039 1" ]
4274732
2 2 7 11 13879
[ "4274732 2 2137366", "2137366 2 1068683", "1068683 7 152669", "152669 11 13879", "13879 13879 1" ]
2052205
5 37 11093
[ "2052205 5 410441", "410441 37 11093", "11093 11093 1" ]
267012
2 2 3 3 7417
[ "267012 2 133506", "133506 2 66753", "66753 3 22251", "22251 3 7417", "7417 7417 1" ]
823464
2 2 2 3 3 11437
[ "823464 2 411732", "411732 2 205866", "205866 2 102933", "102933 3 34311", "34311 3 11437", "11437 11437 1" ]
478408
2 2 2 7 8543
[ "478408 2 239204", "239204 2 119602", "119602 2 59801", "59801 7 8543", "8543 8543 1" ]
2785559
7 383 1039
[ "2785559 7 397937", "397937 383 1039", "1039 1039 1" ]
1561675
5 5 62467
[ "1561675 5 312335", "312335 5 62467", "62467 62467 1" ]
3911497
3911497
[ "3911497 3911497 1" ]
2492024
2 2 2 37 8419
[ "2492024 2 1246012", "1246012 2 623006", "623006 2 311503", "311503 37 8419", "8419 8419 1" ]
3089100
2 2 3 5 5 7 1471
[ "3089100 2 1544550", "1544550 2 772275", "772275 3 257425", "257425 5 51485", "51485 5 10297", "10297 7 1471", "1471 1471 1" ]
3895072
2 2 2 2 2 121721
[ "3895072 2 1947536", "1947536 2 973768", "973768 2 486884", "486884 2 243442", "243442 2 121721", "121721 121721 1" ]
3205955
5 467 1373
[ "3205955 5 641191", "641191 467 1373", "1373 1373 1" ]
3151526
2 7 225109
[ "3151526 2 1575763", "1575763 7 225109", "225109 225109 1" ]
2618546
2 7 359 521
[ "2618546 2 1309273", "1309273 7 187039", "187039 359 521", "521 521 1" ]
1782039
3 7 84859
[ "1782039 3 594013", "594013 7 84859", "84859 84859 1" ]
2734786
2 1367393
[ "2734786 2 1367393", "1367393 1367393 1" ]
2901146
2 1450573
[ "2901146 2 1450573", "1450573 1450573 1" ]
1436603
7 23 8923
[ "1436603 7 205229", "205229 23 8923", "8923 8923 1" ]
3671381
7 233 2251
[ "3671381 7 524483", "524483 233 2251", "2251 2251 1" ]
2453902
2 11 71 1571
[ "2453902 2 1226951", "1226951 11 111541", "111541 71 1571", "1571 1571 1" ]
4168187
97 97 443
[ "4168187 97 42971", "42971 97 443", "443 443 1" ]
1605386
2 19 83 509
[ "1605386 2 802693", "802693 19 42247", "42247 83 509", "509 509 1" ]
490522
2 245261
[ "490522 2 245261", "245261 245261 1" ]
139631
19 7349
[ "139631 19 7349", "7349 7349 1" ]
3992814
2 3 3 3 3 7 7 503
[ "3992814 2 1996407", "1996407 3 665469", "665469 3 221823", "221823 3 73941", "73941 3 24647", "24647 7 3521", "3521 7 503", "503 503 1" ]
1743364
2 2 7 19 29 113
[ "1743364 2 871682", "871682 2 435841", "435841 7 62263", "62263 19 3277", "3277 29 113", "113 113 1" ]
1323048
2 2 2 3 55127
[ "1323048 2 661524", "661524 2 330762", "330762 2 165381", "165381 3 55127", "55127 55127 1" ]
201532
2 2 50383
[ "201532 2 100766", "100766 2 50383", "50383 50383 1" ]
3510384
2 2 2 2 3 73133
[ "3510384 2 1755192", "1755192 2 877596", "877596 2 438798", "438798 2 219399", "219399 3 73133", "73133 73133 1" ]
423576
2 2 2 3 3 3 37 53
[ "423576 2 211788", "211788 2 105894", "105894 2 52947", "52947 3 17649", "17649 3 5883", "5883 3 1961", "1961 37 53", "53 53 1" ]
1433034
2 3 3 79613
[ "1433034 2 716517", "716517 3 238839", "238839 3 79613", "79613 79613 1" ]
4709670
2 3 5 7 41 547
[ "4709670 2 2354835", "2354835 3 784945", "784945 5 156989", "156989 7 22427", "22427 41 547", "547 547 1" ]
2246680
2 2 2 5 56167
[ "2246680 2 1123340", "1123340 2 561670", "561670 2 280835", "280835 5 56167", "56167 56167 1" ]
4623464
2 2 2 31 103 181
[ "4623464 2 2311732", "2311732 2 1155866", "1155866 2 577933", "577933 31 18643", "18643 103 181", "181 181 1" ]
2841355
5 11 19 2719
[ "2841355 5 568271", "568271 11 51661", "51661 19 2719", "2719 2719 1" ]
1493501
17 87853
[ "1493501 17 87853", "87853 87853 1" ]
1490693
37 40289
[ "1490693 37 40289", "40289 40289 1" ]
3735598
2 1867799
[ "3735598 2 1867799", "1867799 1867799 1" ]
857483
11 137 569
[ "857483 11 77953", "77953 137 569", "569 569 1" ]
1398464
2 2 2 2 2 2 21851
[ "1398464 2 699232", "699232 2 349616", "349616 2 174808", "174808 2 87404", "87404 2 43702", "43702 2 21851", "21851 21851 1" ]
1024169
449 2281
[ "1024169 449 2281", "2281 2281 1" ]
3775810
2 5 377581
[ "3775810 2 1887905", "1887905 5 377581", "377581 377581 1" ]