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
3073935
3 5 101 2029
[ "3073935 3 1024645", "1024645 5 204929", "204929 101 2029", "2029 2029 1" ]
4306966
2 43 61 821
[ "4306966 2 2153483", "2153483 43 50081", "50081 61 821", "821 821 1" ]
4540366
2 2270183
[ "4540366 2 2270183", "2270183 2270183 1" ]
3611094
2 3 601849
[ "3611094 2 1805547", "1805547 3 601849", "601849 601849 1" ]
2122890
2 3 5 7 11 919
[ "2122890 2 1061445", "1061445 3 353815", "353815 5 70763", "70763 7 10109", "10109 11 919", "919 919 1" ]
4613188
2 2 17 179 379
[ "4613188 2 2306594", "2306594 2 1153297", "1153297 17 67841", "67841 179 379", "379 379 1" ]
971697
3 323899
[ "971697 3 323899", "323899 323899 1" ]
4530851
13 348527
[ "4530851 13 348527", "348527 348527 1" ]
2197219
59 167 223
[ "2197219 59 37241", "37241 167 223", "223 223 1" ]
1781816
2 2 2 71 3137
[ "1781816 2 890908", "890908 2 445454", "445454 2 222727", "222727 71 3137", "3137 3137 1" ]
89469
3 3 9941
[ "89469 3 29823", "29823 3 9941", "9941 9941 1" ]
2246393
2246393
[ "2246393 2246393 1" ]
3639202
2 7 259943
[ "3639202 2 1819601", "1819601 7 259943", "259943 259943 1" ]
1526096
2 2 2 2 11 13 23 29
[ "1526096 2 763048", "763048 2 381524", "381524 2 190762", "190762 2 95381", "95381 11 8671", "8671 13 667", "667 23 29", "29 29 1" ]
4455351
3 3 3 31 5323
[ "4455351 3 1485117", "1485117 3 495039", "495039 3 165013", "165013 31 5323", "5323 5323 1" ]
2900752
2 2 2 2 181297
[ "2900752 2 1450376", "1450376 2 725188", "725188 2 362594", "362594 2 181297", "181297 181297 1" ]
1204835
5 240967
[ "1204835 5 240967", "240967 240967 1" ]
644501
11 13 4507
[ "644501 11 58591", "58591 13 4507", "4507 4507 1" ]
4365256
2 2 2 7 77951
[ "4365256 2 2182628", "2182628 2 1091314", "1091314 2 545657", "545657 7 77951", "77951 77951 1" ]
3424007
1069 3203
[ "3424007 1069 3203", "3203 3203 1" ]
2458550
2 5 5 49171
[ "2458550 2 1229275", "1229275 5 245855", "245855 5 49171", "49171 49171 1" ]
3128322
2 3 23 22669
[ "3128322 2 1564161", "1564161 3 521387", "521387 23 22669", "22669 22669 1" ]
348796
2 2 7 12457
[ "348796 2 174398", "174398 2 87199", "87199 7 12457", "12457 12457 1" ]
2224792
2 2 2 47 61 97
[ "2224792 2 1112396", "1112396 2 556198", "556198 2 278099", "278099 47 5917", "5917 61 97", "97 97 1" ]
2254877
41 43 1279
[ "2254877 41 54997", "54997 43 1279", "1279 1279 1" ]
2480227
2480227
[ "2480227 2480227 1" ]
1656113
31 41 1303
[ "1656113 31 53423", "53423 41 1303", "1303 1303 1" ]
4320390
2 3 5 144013
[ "4320390 2 2160195", "2160195 3 720065", "720065 5 144013", "144013 144013 1" ]
4509660
2 2 3 5 75161
[ "4509660 2 2254830", "2254830 2 1127415", "1127415 3 375805", "375805 5 75161", "75161 75161 1" ]
2724766
2 11 123853
[ "2724766 2 1362383", "1362383 11 123853", "123853 123853 1" ]
4366233
3 3 485137
[ "4366233 3 1455411", "1455411 3 485137", "485137 485137 1" ]
3546834
2 3 31 19069
[ "3546834 2 1773417", "1773417 3 591139", "591139 31 19069", "19069 19069 1" ]
4643659
4643659
[ "4643659 4643659 1" ]
364108
2 2 227 401
[ "364108 2 182054", "182054 2 91027", "91027 227 401", "401 401 1" ]
3203820
2 2 3 3 3 5 17 349
[ "3203820 2 1601910", "1601910 2 800955", "800955 3 266985", "266985 3 88995", "88995 3 29665", "29665 5 5933", "5933 17 349", "349 349 1" ]
1667882
2 641 1301
[ "1667882 2 833941", "833941 641 1301", "1301 1301 1" ]
3424066
2 19 90107
[ "3424066 2 1712033", "1712033 19 90107", "90107 90107 1" ]
834069
3 29 9587
[ "834069 3 278023", "278023 29 9587", "9587 9587 1" ]
3225594
2 3 537599
[ "3225594 2 1612797", "1612797 3 537599", "537599 537599 1" ]
696559
19 61 601
[ "696559 19 36661", "36661 61 601", "601 601 1" ]
4937510
2 5 563 877
[ "4937510 2 2468755", "2468755 5 493751", "493751 563 877", "877 877 1" ]
1769224
2 2 2 17 13009
[ "1769224 2 884612", "884612 2 442306", "442306 2 221153", "221153 17 13009", "13009 13009 1" ]
1179643
31 38053
[ "1179643 31 38053", "38053 38053 1" ]
3852081
3 3 17 17 1481
[ "3852081 3 1284027", "1284027 3 428009", "428009 17 25177", "25177 17 1481", "1481 1481 1" ]
2425708
2 2 577 1051
[ "2425708 2 1212854", "1212854 2 606427", "606427 577 1051", "1051 1051 1" ]
4981538
2 2490769
[ "4981538 2 2490769", "2490769 2490769 1" ]
4457417
17 79 3319
[ "4457417 17 262201", "262201 79 3319", "3319 3319 1" ]
3884887
293 13259
[ "3884887 293 13259", "13259 13259 1" ]
596870
2 5 17 3511
[ "596870 2 298435", "298435 5 59687", "59687 17 3511", "3511 3511 1" ]
2326053
3 41 18911
[ "2326053 3 775351", "775351 41 18911", "18911 18911 1" ]
2720265
3 5 151 1201
[ "2720265 3 906755", "906755 5 181351", "181351 151 1201", "1201 1201 1" ]
1684652
2 2 421163
[ "1684652 2 842326", "842326 2 421163", "421163 421163 1" ]
1392864
2 2 2 2 2 3 11 1319
[ "1392864 2 696432", "696432 2 348216", "348216 2 174108", "174108 2 87054", "87054 2 43527", "43527 3 14509", "14509 11 1319", "1319 1319 1" ]
2227915
5 445583
[ "2227915 5 445583", "445583 445583 1" ]
463296
2 2 2 2 2 2 3 19 127
[ "463296 2 231648", "231648 2 115824", "115824 2 57912", "57912 2 28956", "28956 2 14478", "14478 2 7239", "7239 3 2413", "2413 19 127", "127 127 1" ]
4082430
2 3 5 11 89 139
[ "4082430 2 2041215", "2041215 3 680405", "680405 5 136081", "136081 11 12371", "12371 89 139", "139 139 1" ]
1278653
331 3863
[ "1278653 331 3863", "3863 3863 1" ]
3614346
2 3 3 200797
[ "3614346 2 1807173", "1807173 3 602391", "602391 3 200797", "200797 200797 1" ]
3976857
3 3 3 3 29 1693
[ "3976857 3 1325619", "1325619 3 441873", "441873 3 147291", "147291 3 49097", "49097 29 1693", "1693 1693 1" ]
1070034
2 3 7 73 349
[ "1070034 2 535017", "535017 3 178339", "178339 7 25477", "25477 73 349", "349 349 1" ]
3992265
3 3 5 79 1123
[ "3992265 3 1330755", "1330755 3 443585", "443585 5 88717", "88717 79 1123", "1123 1123 1" ]
216014
2 108007
[ "216014 2 108007", "108007 108007 1" ]
4893898
2 131 18679
[ "4893898 2 2446949", "2446949 131 18679", "18679 18679 1" ]
2392477
43 55639
[ "2392477 43 55639", "55639 55639 1" ]
443627
271 1637
[ "443627 271 1637", "1637 1637 1" ]
4644865
5 113 8221
[ "4644865 5 928973", "928973 113 8221", "8221 8221 1" ]
4731778
2 31 167 457
[ "4731778 2 2365889", "2365889 31 76319", "76319 167 457", "457 457 1" ]
1994118
2 3 7 79 601
[ "1994118 2 997059", "997059 3 332353", "332353 7 47479", "47479 79 601", "601 601 1" ]
1596578
2 761 1049
[ "1596578 2 798289", "798289 761 1049", "1049 1049 1" ]
2923486
2 31 61 773
[ "2923486 2 1461743", "1461743 31 47153", "47153 61 773", "773 773 1" ]
1792052
2 2 448013
[ "1792052 2 896026", "896026 2 448013", "448013 448013 1" ]
1465439
1465439
[ "1465439 1465439 1" ]
307007
337 911
[ "307007 337 911", "911 911 1" ]
832474
2 29 31 463
[ "832474 2 416237", "416237 29 14353", "14353 31 463", "463 463 1" ]
3219844
2 2 107 7523
[ "3219844 2 1609922", "1609922 2 804961", "804961 107 7523", "7523 7523 1" ]
4265290
2 5 31 13759
[ "4265290 2 2132645", "2132645 5 426529", "426529 31 13759", "13759 13759 1" ]
4513968
2 2 2 2 3 3 3 3 3 3 3 3 43
[ "4513968 2 2256984", "2256984 2 1128492", "1128492 2 564246", "564246 2 282123", "282123 3 94041", "94041 3 31347", "31347 3 10449", "10449 3 3483", "3483 3 1161", "1161 3 387", "387 3 129", "129 3 43", "43 43 1" ]
412046
2 17 12119
[ "412046 2 206023", "206023 17 12119", "12119 12119 1" ]
4855780
2 2 5 242789
[ "4855780 2 2427890", "2427890 2 1213945", "1213945 5 242789", "242789 242789 1" ]
333858
2 3 7 7949
[ "333858 2 166929", "166929 3 55643", "55643 7 7949", "7949 7949 1" ]
3784260
2 2 3 5 59 1069
[ "3784260 2 1892130", "1892130 2 946065", "946065 3 315355", "315355 5 63071", "63071 59 1069", "1069 1069 1" ]
2946194
2 1473097
[ "2946194 2 1473097", "1473097 1473097 1" ]
4289929
7 612847
[ "4289929 7 612847", "612847 612847 1" ]
3004637
3004637
[ "3004637 3004637 1" ]
4385931
3 11 29 4583
[ "4385931 3 1461977", "1461977 11 132907", "132907 29 4583", "4583 4583 1" ]
3903009
3 11 118273
[ "3903009 3 1301003", "1301003 11 118273", "118273 118273 1" ]
2466662
2 11 112121
[ "2466662 2 1233331", "1233331 11 112121", "112121 112121 1" ]
718998
2 3 7 17 19 53
[ "718998 2 359499", "359499 3 119833", "119833 7 17119", "17119 17 1007", "1007 19 53", "53 53 1" ]
2432984
2 2 2 29 10487
[ "2432984 2 1216492", "1216492 2 608246", "608246 2 304123", "304123 29 10487", "10487 10487 1" ]
3432776
2 2 2 17 43 587
[ "3432776 2 1716388", "1716388 2 858194", "858194 2 429097", "429097 17 25241", "25241 43 587", "587 587 1" ]
4552513
7 650359
[ "4552513 7 650359", "650359 650359 1" ]
2496617
103 24239
[ "2496617 103 24239", "24239 24239 1" ]
2289649
2289649
[ "2289649 2289649 1" ]
3586747
107 33521
[ "3586747 107 33521", "33521 33521 1" ]
4257384
2 2 2 3 53 3347
[ "4257384 2 2128692", "2128692 2 1064346", "1064346 2 532173", "532173 3 177391", "177391 53 3347", "3347 3347 1" ]
4627297
563 8219
[ "4627297 563 8219", "8219 8219 1" ]
1902573
3 3 59 3583
[ "1902573 3 634191", "634191 3 211397", "211397 59 3583", "3583 3583 1" ]
4137233
53 251 311
[ "4137233 53 78061", "78061 251 311", "311 311 1" ]
2109302
2 13 31 2617
[ "2109302 2 1054651", "1054651 13 81127", "81127 31 2617", "2617 2617 1" ]
2252011
2252011
[ "2252011 2252011 1" ]