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
1218754
2 29 21013
[ "1218754 2 609377", "609377 29 21013", "21013 21013 1" ]
2859291
3 3 19 23 727
[ "2859291 3 953097", "953097 3 317699", "317699 19 16721", "16721 23 727", "727 727 1" ]
759954
2 3 13 9743
[ "759954 2 379977", "379977 3 126659", "126659 13 9743", "9743 9743 1" ]
3678874
2 107 17191
[ "3678874 2 1839437", "1839437 107 17191", "17191 17191 1" ]
664472
2 2 2 83059
[ "664472 2 332236", "332236 2 166118", "166118 2 83059", "83059 83059 1" ]
1411204
2 2 17 20753
[ "1411204 2 705602", "705602 2 352801", "352801 17 20753", "20753 20753 1" ]
3042819
3 3 3 13 8669
[ "3042819 3 1014273", "1014273 3 338091", "338091 3 112697", "112697 13 8669", "8669 8669 1" ]
2017529
2017529
[ "2017529 2017529 1" ]
1364124
2 2 3 19 31 193
[ "1364124 2 682062", "682062 2 341031", "341031 3 113677", "113677 19 5983", "5983 31 193", "193 193 1" ]
2830431
3 943477
[ "2830431 3 943477", "943477 943477 1" ]
628437
3 47 4457
[ "628437 3 209479", "209479 47 4457", "4457 4457 1" ]
4221504
2 2 2 2 2 2 3 3 3 7 349
[ "4221504 2 2110752", "2110752 2 1055376", "1055376 2 527688", "527688 2 263844", "263844 2 131922", "131922 2 65961", "65961 3 21987", "21987 3 7329", "7329 3 2443", "2443 7 349", "349 349 1" ]
3579606
2 3 3 3 151 439
[ "3579606 2 1789803", "1789803 3 596601", "596601 3 198867", "198867 3 66289", "66289 151 439", "439 439 1" ]
4996872
2 2 2 3 3 69401
[ "4996872 2 2498436", "2498436 2 1249218", "1249218 2 624609", "624609 3 208203", "208203 3 69401", "69401 69401 1" ]
301964
2 2 13 5807
[ "301964 2 150982", "150982 2 75491", "75491 13 5807", "5807 5807 1" ]
616468
2 2 229 673
[ "616468 2 308234", "308234 2 154117", "154117 229 673", "673 673 1" ]
4878455
5 975691
[ "4878455 5 975691", "975691 975691 1" ]
4664357
4664357
[ "4664357 4664357 1" ]
2980138
2 7 212867
[ "2980138 2 1490069", "1490069 7 212867", "212867 212867 1" ]
4553733
3 103 14737
[ "4553733 3 1517911", "1517911 103 14737", "14737 14737 1" ]
1636550
2 5 5 71 461
[ "1636550 2 818275", "818275 5 163655", "163655 5 32731", "32731 71 461", "461 461 1" ]
824791
11 97 773
[ "824791 11 74981", "74981 97 773", "773 773 1" ]
3300890
2 5 17 19417
[ "3300890 2 1650445", "1650445 5 330089", "330089 17 19417", "19417 19417 1" ]
3967988
2 2 73 107 127
[ "3967988 2 1983994", "1983994 2 991997", "991997 73 13589", "13589 107 127", "127 127 1" ]
2326695
3 5 7 22159
[ "2326695 3 775565", "775565 5 155113", "155113 7 22159", "22159 22159 1" ]
2086726
2 37 163 173
[ "2086726 2 1043363", "1043363 37 28199", "28199 163 173", "173 173 1" ]
1938870
2 3 3 3 5 43 167
[ "1938870 2 969435", "969435 3 323145", "323145 3 107715", "107715 3 35905", "35905 5 7181", "7181 43 167", "167 167 1" ]
3712221
3 3 59 6991
[ "3712221 3 1237407", "1237407 3 412469", "412469 59 6991", "6991 6991 1" ]
4420697
17 443 587
[ "4420697 17 260041", "260041 443 587", "587 587 1" ]
188842
2 94421
[ "188842 2 94421", "94421 94421 1" ]
1308171
3 23 18959
[ "1308171 3 436057", "436057 23 18959", "18959 18959 1" ]
4563108
2 2 3 3 3 11 23 167
[ "4563108 2 2281554", "2281554 2 1140777", "1140777 3 380259", "380259 3 126753", "126753 3 42251", "42251 11 3841", "3841 23 167", "167 167 1" ]
929245
5 185849
[ "929245 5 185849", "185849 185849 1" ]
1561223
223 7001
[ "1561223 223 7001", "7001 7001 1" ]
4423831
37 119563
[ "4423831 37 119563", "119563 119563 1" ]
3622783
3622783
[ "3622783 3622783 1" ]
2005066
2 7 197 727
[ "2005066 2 1002533", "1002533 7 143219", "143219 197 727", "727 727 1" ]
1686074
2 13 64849
[ "1686074 2 843037", "843037 13 64849", "64849 64849 1" ]
863840
2 2 2 2 2 5 5399
[ "863840 2 431920", "431920 2 215960", "215960 2 107980", "107980 2 53990", "53990 2 26995", "26995 5 5399", "5399 5399 1" ]
3809116
2 2 952279
[ "3809116 2 1904558", "1904558 2 952279", "952279 952279 1" ]
3166266
2 3 41 61 211
[ "3166266 2 1583133", "1583133 3 527711", "527711 41 12871", "12871 61 211", "211 211 1" ]
3454494
2 3 241 2389
[ "3454494 2 1727247", "1727247 3 575749", "575749 241 2389", "2389 2389 1" ]
1680210
2 3 3 3 5 7 7 127
[ "1680210 2 840105", "840105 3 280035", "280035 3 93345", "93345 3 31115", "31115 5 6223", "6223 7 889", "889 7 127", "127 127 1" ]
2584636
2 2 646159
[ "2584636 2 1292318", "1292318 2 646159", "646159 646159 1" ]
2837810
2 5 17 16693
[ "2837810 2 1418905", "1418905 5 283781", "283781 17 16693", "16693 16693 1" ]
4816770
2 3 5 7 22937
[ "4816770 2 2408385", "2408385 3 802795", "802795 5 160559", "160559 7 22937", "22937 22937 1" ]
332441
332441
[ "332441 332441 1" ]
1238978
2 13 47653
[ "1238978 2 619489", "619489 13 47653", "47653 47653 1" ]
2459222
2 467 2633
[ "2459222 2 1229611", "1229611 467 2633", "2633 2633 1" ]
3472032
2 2 2 2 2 3 59 613
[ "3472032 2 1736016", "1736016 2 868008", "868008 2 434004", "434004 2 217002", "217002 2 108501", "108501 3 36167", "36167 59 613", "613 613 1" ]
1248882
2 3 208147
[ "1248882 2 624441", "624441 3 208147", "208147 208147 1" ]
852006
2 3 17 8353
[ "852006 2 426003", "426003 3 142001", "142001 17 8353", "8353 8353 1" ]
2163997
11 196727
[ "2163997 11 196727", "196727 196727 1" ]
2525016
2 2 2 3 13 8093
[ "2525016 2 1262508", "1262508 2 631254", "631254 2 315627", "315627 3 105209", "105209 13 8093", "8093 8093 1" ]
1745004
2 2 3 145417
[ "1745004 2 872502", "872502 2 436251", "436251 3 145417", "145417 145417 1" ]
2661143
347 7669
[ "2661143 347 7669", "7669 7669 1" ]
1152338
2 11 52379
[ "1152338 2 576169", "576169 11 52379", "52379 52379 1" ]
2107312
2 2 2 2 131707
[ "2107312 2 1053656", "1053656 2 526828", "526828 2 263414", "263414 2 131707", "131707 131707 1" ]
4957253
7 708179
[ "4957253 7 708179", "708179 708179 1" ]
4433047
4433047
[ "4433047 4433047 1" ]
370649
29 12781
[ "370649 29 12781", "12781 12781 1" ]
4622754
2 3 770459
[ "4622754 2 2311377", "2311377 3 770459", "770459 770459 1" ]
2853014
2 269 5303
[ "2853014 2 1426507", "1426507 269 5303", "5303 5303 1" ]
608976
2 2 2 2 3 3 4229
[ "608976 2 304488", "304488 2 152244", "152244 2 76122", "76122 2 38061", "38061 3 12687", "12687 3 4229", "4229 4229 1" ]
4567375
5 5 5 61 599
[ "4567375 5 913475", "913475 5 182695", "182695 5 36539", "36539 61 599", "599 599 1" ]
872383
872383
[ "872383 872383 1" ]
193482
2 3 3 3 3583
[ "193482 2 96741", "96741 3 32247", "32247 3 10749", "10749 3 3583", "3583 3583 1" ]
1130618
2 457 1237
[ "1130618 2 565309", "565309 457 1237", "1237 1237 1" ]
3914699
3914699
[ "3914699 3914699 1" ]
4528936
2 2 2 17 33301
[ "4528936 2 2264468", "2264468 2 1132234", "1132234 2 566117", "566117 17 33301", "33301 33301 1" ]
3338676
2 2 3 3 11 8431
[ "3338676 2 1669338", "1669338 2 834669", "834669 3 278223", "278223 3 92741", "92741 11 8431", "8431 8431 1" ]
603691
11 54881
[ "603691 11 54881", "54881 54881 1" ]
1419830
2 5 41 3463
[ "1419830 2 709915", "709915 5 141983", "141983 41 3463", "3463 3463 1" ]
2547173
2547173
[ "2547173 2547173 1" ]
1274225
5 5 50969
[ "1274225 5 254845", "254845 5 50969", "50969 50969 1" ]
1237863
3 11 37511
[ "1237863 3 412621", "412621 11 37511", "37511 37511 1" ]
899010
2 3 3 5 7 1427
[ "899010 2 449505", "449505 3 149835", "149835 3 49945", "49945 5 9989", "9989 7 1427", "1427 1427 1" ]
1275849
3 3 141761
[ "1275849 3 425283", "425283 3 141761", "141761 141761 1" ]
2144096
2 2 2 2 2 67003
[ "2144096 2 1072048", "1072048 2 536024", "536024 2 268012", "268012 2 134006", "134006 2 67003", "67003 67003 1" ]
2552399
59 43261
[ "2552399 59 43261", "43261 43261 1" ]
1945468
2 2 7 69481
[ "1945468 2 972734", "972734 2 486367", "486367 7 69481", "69481 69481 1" ]
1693721
53 31957
[ "1693721 53 31957", "31957 31957 1" ]
3793948
2 2 948487
[ "3793948 2 1896974", "1896974 2 948487", "948487 948487 1" ]
814375
5 5 5 5 1303
[ "814375 5 162875", "162875 5 32575", "32575 5 6515", "6515 5 1303", "1303 1303 1" ]
1955840
2 2 2 2 2 2 2 2 2 2 2 5 191
[ "1955840 2 977920", "977920 2 488960", "488960 2 244480", "244480 2 122240", "122240 2 61120", "61120 2 30560", "30560 2 15280", "15280 2 7640", "7640 2 3820", "3820 2 1910", "1910 2 955", "955 5 191", "191 191 1" ]
19382
2 11 881
[ "19382 2 9691", "9691 11 881", "881 881 1" ]
4575841
4575841
[ "4575841 4575841 1" ]
219959
219959
[ "219959 219959 1" ]
680731
17 23 1741
[ "680731 17 40043", "40043 23 1741", "1741 1741 1" ]
4499084
2 2 17 109 607
[ "4499084 2 2249542", "2249542 2 1124771", "1124771 17 66163", "66163 109 607", "607 607 1" ]
3258992
2 2 2 2 11 18517
[ "3258992 2 1629496", "1629496 2 814748", "814748 2 407374", "407374 2 203687", "203687 11 18517", "18517 18517 1" ]
4874982
2 3 7 19 41 149
[ "4874982 2 2437491", "2437491 3 812497", "812497 7 116071", "116071 19 6109", "6109 41 149", "149 149 1" ]
1822946
2 401 2273
[ "1822946 2 911473", "911473 401 2273", "2273 2273 1" ]
465171
3 7 17 1303
[ "465171 3 155057", "155057 7 22151", "22151 17 1303", "1303 1303 1" ]
873682
2 436841
[ "873682 2 436841", "436841 436841 1" ]
4467650
2 5 5 11 8123
[ "4467650 2 2233825", "2233825 5 446765", "446765 5 89353", "89353 11 8123", "8123 8123 1" ]
798092
2 2 199523
[ "798092 2 399046", "399046 2 199523", "199523 199523 1" ]
3932845
5 7 313 359
[ "3932845 5 786569", "786569 7 112367", "112367 313 359", "359 359 1" ]
3978810
2 3 3 5 11 4019
[ "3978810 2 1989405", "1989405 3 663135", "663135 3 221045", "221045 5 44209", "44209 11 4019", "4019 4019 1" ]
2262055
5 227 1993
[ "2262055 5 452411", "452411 227 1993", "1993 1993 1" ]