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
131699
17 61 127
[ "131699 17 7747", "7747 61 127", "127 127 1" ]
2588459
157 16487
[ "2588459 157 16487", "16487 16487 1" ]
4039555
5 13 29 2143
[ "4039555 5 807911", "807911 13 62147", "62147 29 2143", "2143 2143 1" ]
1573194
2 3 7 7 5351
[ "1573194 2 786597", "786597 3 262199", "262199 7 37457", "37457 7 5351", "5351 5351 1" ]
916312
2 2 2 47 2437
[ "916312 2 458156", "458156 2 229078", "229078 2 114539", "114539 47 2437", "2437 2437 1" ]
3279418
2 151 10859
[ "3279418 2 1639709", "1639709 151 10859", "10859 10859 1" ]
2756648
2 2 2 37 67 139
[ "2756648 2 1378324", "1378324 2 689162", "689162 2 344581", "344581 37 9313", "9313 67 139", "139 139 1" ]
1829918
2 101 9059
[ "1829918 2 914959", "914959 101 9059", "9059 9059 1" ]
3767700
2 2 3 5 5 19 661
[ "3767700 2 1883850", "1883850 2 941925", "941925 3 313975", "313975 5 62795", "62795 5 12559", "12559 19 661", "661 661 1" ]
1924243
1924243
[ "1924243 1924243 1" ]
168290
2 5 16829
[ "168290 2 84145", "84145 5 16829", "16829 16829 1" ]
3351378
2 3 558563
[ "3351378 2 1675689", "1675689 3 558563", "558563 558563 1" ]
4189927
7 113 5297
[ "4189927 7 598561", "598561 113 5297", "5297 5297 1" ]
970188
2 2 3 80849
[ "970188 2 485094", "485094 2 242547", "242547 3 80849", "80849 80849 1" ]
4922144
2 2 2 2 2 153817
[ "4922144 2 2461072", "2461072 2 1230536", "1230536 2 615268", "615268 2 307634", "307634 2 153817", "153817 153817 1" ]
1255600
2 2 2 2 5 5 43 73
[ "1255600 2 627800", "627800 2 313900", "313900 2 156950", "156950 2 78475", "78475 5 15695", "15695 5 3139", "3139 43 73", "73 73 1" ]
612134
2 421 727
[ "612134 2 306067", "306067 421 727", "727 727 1" ]
3354579
3 3 41 9091
[ "3354579 3 1118193", "1118193 3 372731", "372731 41 9091", "9091 9091 1" ]
4358900
2 2 5 5 7 13 479
[ "4358900 2 2179450", "2179450 2 1089725", "1089725 5 217945", "217945 5 43589", "43589 7 6227", "6227 13 479", "479 479 1" ]
4245107
29 146383
[ "4245107 29 146383", "146383 146383 1" ]
1291396
2 2 322849
[ "1291396 2 645698", "645698 2 322849", "322849 322849 1" ]
4076002
2 7 291143
[ "4076002 2 2038001", "2038001 7 291143", "291143 291143 1" ]
3018375
3 3 5 5 5 2683
[ "3018375 3 1006125", "1006125 3 335375", "335375 5 67075", "67075 5 13415", "13415 5 2683", "2683 2683 1" ]
1705166
2 852583
[ "1705166 2 852583", "852583 852583 1" ]
2091895
5 13 32183
[ "2091895 5 418379", "418379 13 32183", "32183 32183 1" ]
4875172
2 2 19 23 2789
[ "4875172 2 2437586", "2437586 2 1218793", "1218793 19 64147", "64147 23 2789", "2789 2789 1" ]
3227282
2 1613641
[ "3227282 2 1613641", "1613641 1613641 1" ]
4084711
131 31181
[ "4084711 131 31181", "31181 31181 1" ]
759655
5 13 13 29 31
[ "759655 5 151931", "151931 13 11687", "11687 13 899", "899 29 31", "31 31 1" ]
1051285
5 210257
[ "1051285 5 210257", "210257 210257 1" ]
2906618
2 11 13 10163
[ "2906618 2 1453309", "1453309 11 132119", "132119 13 10163", "10163 10163 1" ]
3581690
2 5 7 19 2693
[ "3581690 2 1790845", "1790845 5 358169", "358169 7 51167", "51167 19 2693", "2693 2693 1" ]
4130189
7 590027
[ "4130189 7 590027", "590027 590027 1" ]
4411321
631 6991
[ "4411321 631 6991", "6991 6991 1" ]
4372810
2 5 13 33637
[ "4372810 2 2186405", "2186405 5 437281", "437281 13 33637", "33637 33637 1" ]
2918331
3 3 13 24943
[ "2918331 3 972777", "972777 3 324259", "324259 13 24943", "24943 24943 1" ]
2929434
2 3 488239
[ "2929434 2 1464717", "1464717 3 488239", "488239 488239 1" ]
4113564
2 2 3 7 13 3767
[ "4113564 2 2056782", "2056782 2 1028391", "1028391 3 342797", "342797 7 48971", "48971 13 3767", "3767 3767 1" ]
511277
13 67 587
[ "511277 13 39329", "39329 67 587", "587 587 1" ]
2606283
3 3 3 83 1163
[ "2606283 3 868761", "868761 3 289587", "289587 3 96529", "96529 83 1163", "1163 1163 1" ]
4161039
3 17 83 983
[ "4161039 3 1387013", "1387013 17 81589", "81589 83 983", "983 983 1" ]
2413491
3 804497
[ "2413491 3 804497", "804497 804497 1" ]
494140
2 2 5 31 797
[ "494140 2 247070", "247070 2 123535", "123535 5 24707", "24707 31 797", "797 797 1" ]
4003632
2 2 2 2 3 3 27803
[ "4003632 2 2001816", "2001816 2 1000908", "1000908 2 500454", "500454 2 250227", "250227 3 83409", "83409 3 27803", "27803 27803 1" ]
4253119
13 327163
[ "4253119 13 327163", "327163 327163 1" ]
1566362
2 7 53 2111
[ "1566362 2 783181", "783181 7 111883", "111883 53 2111", "2111 2111 1" ]
1117600
2 2 2 2 2 5 5 11 127
[ "1117600 2 558800", "558800 2 279400", "279400 2 139700", "139700 2 69850", "69850 2 34925", "34925 5 6985", "6985 5 1397", "1397 11 127", "127 127 1" ]
292345
5 59 991
[ "292345 5 58469", "58469 59 991", "991 991 1" ]
783735
3 5 52249
[ "783735 3 261245", "261245 5 52249", "52249 52249 1" ]
595711
595711
[ "595711 595711 1" ]
4770126
2 3 3 265007
[ "4770126 2 2385063", "2385063 3 795021", "795021 3 265007", "265007 265007 1" ]
2664382
2 7 190313
[ "2664382 2 1332191", "1332191 7 190313", "190313 190313 1" ]
1931685
3 5 7 18397
[ "1931685 3 643895", "643895 5 128779", "128779 7 18397", "18397 18397 1" ]
1569024
2 2 2 2 2 2 2 2 3 3 3 227
[ "1569024 2 784512", "784512 2 392256", "392256 2 196128", "196128 2 98064", "98064 2 49032", "49032 2 24516", "24516 2 12258", "12258 2 6129", "6129 3 2043", "2043 3 681", "681 3 227", "227 227 1" ]
1987267
19 104593
[ "1987267 19 104593", "104593 104593 1" ]
2239035
3 5 149269
[ "2239035 3 746345", "746345 5 149269", "149269 149269 1" ]
2514626
2 1257313
[ "2514626 2 1257313", "1257313 1257313 1" ]
2888907
3 7 137567
[ "2888907 3 962969", "962969 7 137567", "137567 137567 1" ]
1952025
3 5 5 17 1531
[ "1952025 3 650675", "650675 5 130135", "130135 5 26027", "26027 17 1531", "1531 1531 1" ]
2907163
7 29 14321
[ "2907163 7 415309", "415309 29 14321", "14321 14321 1" ]
3343018
2 7 89 2683
[ "3343018 2 1671509", "1671509 7 238787", "238787 89 2683", "2683 2683 1" ]
4932291
3 7 7 13 29 89
[ "4932291 3 1644097", "1644097 7 234871", "234871 7 33553", "33553 13 2581", "2581 29 89", "89 89 1" ]
3771280
2 2 2 2 5 17 47 59
[ "3771280 2 1885640", "1885640 2 942820", "942820 2 471410", "471410 2 235705", "235705 5 47141", "47141 17 2773", "2773 47 59", "59 59 1" ]
1163743
7 83 2003
[ "1163743 7 166249", "166249 83 2003", "2003 2003 1" ]
2425556
2 2 7 86627
[ "2425556 2 1212778", "1212778 2 606389", "606389 7 86627", "86627 86627 1" ]
689523
3 229841
[ "689523 3 229841", "229841 229841 1" ]
2406210
2 3 5 80207
[ "2406210 2 1203105", "1203105 3 401035", "401035 5 80207", "80207 80207 1" ]
968377
968377
[ "968377 968377 1" ]
3729326
2 109 17107
[ "3729326 2 1864663", "1864663 109 17107", "17107 17107 1" ]
772393
772393
[ "772393 772393 1" ]
4728505
5 945701
[ "4728505 5 945701", "945701 945701 1" ]
3027504
2 2 2 2 3 63073
[ "3027504 2 1513752", "1513752 2 756876", "756876 2 378438", "378438 2 189219", "189219 3 63073", "63073 63073 1" ]
376884
2 2 3 3 19 19 29
[ "376884 2 188442", "188442 2 94221", "94221 3 31407", "31407 3 10469", "10469 19 551", "551 19 29", "29 29 1" ]
2980151
17 175303
[ "2980151 17 175303", "175303 175303 1" ]
1587730
2 5 179 887
[ "1587730 2 793865", "793865 5 158773", "158773 179 887", "887 887 1" ]
1756008
2 2 2 3 3 29 29 29
[ "1756008 2 878004", "878004 2 439002", "439002 2 219501", "219501 3 73167", "73167 3 24389", "24389 29 841", "841 29 29", "29 29 1" ]
3340025
5 5 13 43 239
[ "3340025 5 668005", "668005 5 133601", "133601 13 10277", "10277 43 239", "239 239 1" ]
172161
3 3 11 37 47
[ "172161 3 57387", "57387 3 19129", "19129 11 1739", "1739 37 47", "47 47 1" ]
1331524
2 2 332881
[ "1331524 2 665762", "665762 2 332881", "332881 332881 1" ]
3191213
37 86249
[ "3191213 37 86249", "86249 86249 1" ]
893832
2 2 2 3 37243
[ "893832 2 446916", "446916 2 223458", "223458 2 111729", "111729 3 37243", "37243 37243 1" ]
2607453
3 3 289717
[ "2607453 3 869151", "869151 3 289717", "289717 289717 1" ]
4948470
2 3 3 5 54983
[ "4948470 2 2474235", "2474235 3 824745", "824745 3 274915", "274915 5 54983", "54983 54983 1" ]
1352592
2 2 2 2 3 3 3 31 101
[ "1352592 2 676296", "676296 2 338148", "338148 2 169074", "169074 2 84537", "84537 3 28179", "28179 3 9393", "9393 3 3131", "3131 31 101", "101 101 1" ]
4675262
2 113 137 151
[ "4675262 2 2337631", "2337631 113 20687", "20687 137 151", "151 151 1" ]
1414090
2 5 41 3449
[ "1414090 2 707045", "707045 5 141409", "141409 41 3449", "3449 3449 1" ]
3144281
7 7 7 89 103
[ "3144281 7 449183", "449183 7 64169", "64169 7 9167", "9167 89 103", "103 103 1" ]
4428040
2 2 2 5 31 3571
[ "4428040 2 2214020", "2214020 2 1107010", "1107010 2 553505", "553505 5 110701", "110701 31 3571", "3571 3571 1" ]
4314571
53 127 641
[ "4314571 53 81407", "81407 127 641", "641 641 1" ]
1542923
127 12149
[ "1542923 127 12149", "12149 12149 1" ]
2960728
2 2 2 370091
[ "2960728 2 1480364", "1480364 2 740182", "740182 2 370091", "370091 370091 1" ]
674384
2 2 2 2 113 373
[ "674384 2 337192", "337192 2 168596", "168596 2 84298", "84298 2 42149", "42149 113 373", "373 373 1" ]
1230115
5 347 709
[ "1230115 5 246023", "246023 347 709", "709 709 1" ]
3354601
593 5657
[ "3354601 593 5657", "5657 5657 1" ]
277016
2 2 2 31 1117
[ "277016 2 138508", "138508 2 69254", "69254 2 34627", "34627 31 1117", "1117 1117 1" ]
2818066
2 1409033
[ "2818066 2 1409033", "1409033 1409033 1" ]
4537204
2 2 7 7 7 3307
[ "4537204 2 2268602", "2268602 2 1134301", "1134301 7 162043", "162043 7 23149", "23149 7 3307", "3307 3307 1" ]
2692609
2692609
[ "2692609 2692609 1" ]
2692295
5 421 1279
[ "2692295 5 538459", "538459 421 1279", "1279 1279 1" ]
3238173
3 3 331 1087
[ "3238173 3 1079391", "1079391 3 359797", "359797 331 1087", "1087 1087 1" ]