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
511045
5 179 571
[ "511045 5 102209", "102209 179 571", "571 571 1" ]
1639997
83 19759
[ "1639997 83 19759", "19759 19759 1" ]
256258
2 17 7537
[ "256258 2 128129", "128129 17 7537", "7537 7537 1" ]
1713949
47 36467
[ "1713949 47 36467", "36467 36467 1" ]
4495988
2 2 7 211 761
[ "4495988 2 2247994", "2247994 2 1123997", "1123997 7 160571", "160571 211 761", "761 761 1" ]
4027684
2 2 313 3217
[ "4027684 2 2013842", "2013842 2 1006921", "1006921 313 3217", "3217 3217 1" ]
4948906
2 193 12821
[ "4948906 2 2474453", "2474453 193 12821", "12821 12821 1" ]
3955357
7 547 1033
[ "3955357 7 565051", "565051 547 1033", "1033 1033 1" ]
2328077
37 62921
[ "2328077 37 62921", "62921 62921 1" ]
2425965
3 5 161731
[ "2425965 3 808655", "808655 5 161731", "161731 161731 1" ]
3600707
11 327337
[ "3600707 11 327337", "327337 327337 1" ]
3962891
1019 3889
[ "3962891 1019 3889", "3889 3889 1" ]
595146
2 3 99191
[ "595146 2 297573", "297573 3 99191", "99191 99191 1" ]
3877701
3 1292567
[ "3877701 3 1292567", "1292567 1292567 1" ]
1472228
2 2 41 47 191
[ "1472228 2 736114", "736114 2 368057", "368057 41 8977", "8977 47 191", "191 191 1" ]
3923646
2 3 653941
[ "3923646 2 1961823", "1961823 3 653941", "653941 653941 1" ]
1968953
7 281279
[ "1968953 7 281279", "281279 281279 1" ]
2720936
2 2 2 340117
[ "2720936 2 1360468", "1360468 2 680234", "680234 2 340117", "340117 340117 1" ]
1643273
1643273
[ "1643273 1643273 1" ]
3941874
2 3 3 218993
[ "3941874 2 1970937", "1970937 3 656979", "656979 3 218993", "218993 218993 1" ]
3405217
3405217
[ "3405217 3405217 1" ]
1778787
3 3 3 65881
[ "1778787 3 592929", "592929 3 197643", "197643 3 65881", "65881 65881 1" ]
1275945
3 5 11 11 19 37
[ "1275945 3 425315", "425315 5 85063", "85063 11 7733", "7733 11 703", "703 19 37", "37 37 1" ]
515757
3 11 15629
[ "515757 3 171919", "171919 11 15629", "15629 15629 1" ]
4932618
2 3 17 37 1307
[ "4932618 2 2466309", "2466309 3 822103", "822103 17 48359", "48359 37 1307", "1307 1307 1" ]
2796318
2 3 3 7 22193
[ "2796318 2 1398159", "1398159 3 466053", "466053 3 155351", "155351 7 22193", "22193 22193 1" ]
3900244
2 2 19 19 37 73
[ "3900244 2 1950122", "1950122 2 975061", "975061 19 51319", "51319 19 2701", "2701 37 73", "73 73 1" ]
3986284
2 2 996571
[ "3986284 2 1993142", "1993142 2 996571", "996571 996571 1" ]
824229
3 3 3 7 7 7 89
[ "824229 3 274743", "274743 3 91581", "91581 3 30527", "30527 7 4361", "4361 7 623", "623 7 89", "89 89 1" ]
3924331
17 17 37 367
[ "3924331 17 230843", "230843 17 13579", "13579 37 367", "367 367 1" ]
1234998
2 3 3 68611
[ "1234998 2 617499", "617499 3 205833", "205833 3 68611", "68611 68611 1" ]
443079
3 3 7 13 541
[ "443079 3 147693", "147693 3 49231", "49231 7 7033", "7033 13 541", "541 541 1" ]
2474708
2 2 23 37 727
[ "2474708 2 1237354", "1237354 2 618677", "618677 23 26899", "26899 37 727", "727 727 1" ]
2610444
2 2 3 43 5059
[ "2610444 2 1305222", "1305222 2 652611", "652611 3 217537", "217537 43 5059", "5059 5059 1" ]
2031766
2 11 92353
[ "2031766 2 1015883", "1015883 11 92353", "92353 92353 1" ]
533021
53 89 113
[ "533021 53 10057", "10057 89 113", "113 113 1" ]
3116766
2 3 113 4597
[ "3116766 2 1558383", "1558383 3 519461", "519461 113 4597", "4597 4597 1" ]
4633834
2 19 197 619
[ "4633834 2 2316917", "2316917 19 121943", "121943 197 619", "619 619 1" ]
2075574
2 3 31 11159
[ "2075574 2 1037787", "1037787 3 345929", "345929 31 11159", "11159 11159 1" ]
971176
2 2 2 17 37 193
[ "971176 2 485588", "485588 2 242794", "242794 2 121397", "121397 17 7141", "7141 37 193", "193 193 1" ]
375052
2 2 93763
[ "375052 2 187526", "187526 2 93763", "93763 93763 1" ]
1335296
2 2 2 2 2 2 2 2 2 2 2 2 2 163
[ "1335296 2 667648", "667648 2 333824", "333824 2 166912", "166912 2 83456", "83456 2 41728", "41728 2 20864", "20864 2 10432", "10432 2 5216", "5216 2 2608", "2608 2 1304", "1304 2 652", "652 2 326", "326 2 163", "163 163 1" ]
804088
2 2 2 100511
[ "804088 2 402044", "402044 2 201022", "201022 2 100511", "100511 100511 1" ]
4888640
2 2 2 2 2 2 5 15277
[ "4888640 2 2444320", "2444320 2 1222160", "1222160 2 611080", "611080 2 305540", "305540 2 152770", "152770 2 76385", "76385 5 15277", "15277 15277 1" ]
2538225
3 3 5 5 29 389
[ "2538225 3 846075", "846075 3 282025", "282025 5 56405", "56405 5 11281", "11281 29 389", "389 389 1" ]
4259927
7 31 67 293
[ "4259927 7 608561", "608561 31 19631", "19631 67 293", "293 293 1" ]
1402567
1402567
[ "1402567 1402567 1" ]
1898237
11 17 10151
[ "1898237 11 172567", "172567 17 10151", "10151 10151 1" ]
52820
2 2 5 19 139
[ "52820 2 26410", "26410 2 13205", "13205 5 2641", "2641 19 139", "139 139 1" ]
4951794
2 3 17 43 1129
[ "4951794 2 2475897", "2475897 3 825299", "825299 17 48547", "48547 43 1129", "1129 1129 1" ]
1776277
1776277
[ "1776277 1776277 1" ]
880466
2 193 2281
[ "880466 2 440233", "440233 193 2281", "2281 2281 1" ]
4954955
5 443 2237
[ "4954955 5 990991", "990991 443 2237", "2237 2237 1" ]
1802715
3 5 120181
[ "1802715 3 600905", "600905 5 120181", "120181 120181 1" ]
3786903
3 3 17 53 467
[ "3786903 3 1262301", "1262301 3 420767", "420767 17 24751", "24751 53 467", "467 467 1" ]
1345586
2 11 31 1973
[ "1345586 2 672793", "672793 11 61163", "61163 31 1973", "1973 1973 1" ]
1345332
2 2 3 112111
[ "1345332 2 672666", "672666 2 336333", "336333 3 112111", "112111 112111 1" ]
3283106
2 101 16253
[ "3283106 2 1641553", "1641553 101 16253", "16253 16253 1" ]
1120255
5 449 499
[ "1120255 5 224051", "224051 449 499", "499 499 1" ]
2347666
2 17 29 2381
[ "2347666 2 1173833", "1173833 17 69049", "69049 29 2381", "2381 2381 1" ]
4859402
2 19 41 3119
[ "4859402 2 2429701", "2429701 19 127879", "127879 41 3119", "3119 3119 1" ]
3396833
11 11 67 419
[ "3396833 11 308803", "308803 11 28073", "28073 67 419", "419 419 1" ]
1015704
2 2 2 3 3 14107
[ "1015704 2 507852", "507852 2 253926", "253926 2 126963", "126963 3 42321", "42321 3 14107", "14107 14107 1" ]
1451499
3 7 69119
[ "1451499 3 483833", "483833 7 69119", "69119 69119 1" ]
1084342
2 7 73 1061
[ "1084342 2 542171", "542171 7 77453", "77453 73 1061", "1061 1061 1" ]
2886474
2 3 139 3461
[ "2886474 2 1443237", "1443237 3 481079", "481079 139 3461", "3461 3461 1" ]
4854446
2 331 7333
[ "4854446 2 2427223", "2427223 331 7333", "7333 7333 1" ]
1932523
1932523
[ "1932523 1932523 1" ]
3325943
3325943
[ "3325943 3325943 1" ]
3780156
2 2 3 315013
[ "3780156 2 1890078", "1890078 2 945039", "945039 3 315013", "315013 315013 1" ]
2870022
2 3 211 2267
[ "2870022 2 1435011", "1435011 3 478337", "478337 211 2267", "2267 2267 1" ]
1383668
2 2 11 13 41 59
[ "1383668 2 691834", "691834 2 345917", "345917 11 31447", "31447 13 2419", "2419 41 59", "59 59 1" ]
116005
5 23201
[ "116005 5 23201", "23201 23201 1" ]
4363691
211 20681
[ "4363691 211 20681", "20681 20681 1" ]
1616567
37 43691
[ "1616567 37 43691", "43691 43691 1" ]
2992546
2 1496273
[ "2992546 2 1496273", "1496273 1496273 1" ]
3670236
2 2 3 3 269 379
[ "3670236 2 1835118", "1835118 2 917559", "917559 3 305853", "305853 3 101951", "101951 269 379", "379 379 1" ]
2468658
2 3 411443
[ "2468658 2 1234329", "1234329 3 411443", "411443 411443 1" ]
3952099
3952099
[ "3952099 3952099 1" ]
2557959
3 163 5231
[ "2557959 3 852653", "852653 163 5231", "5231 5231 1" ]
3280657
3280657
[ "3280657 3280657 1" ]
1055147
31 101 337
[ "1055147 31 34037", "34037 101 337", "337 337 1" ]
780825
3 5 5 29 359
[ "780825 3 260275", "260275 5 52055", "52055 5 10411", "10411 29 359", "359 359 1" ]
666468
2 2 3 3 3 3 11 11 17
[ "666468 2 333234", "333234 2 166617", "166617 3 55539", "55539 3 18513", "18513 3 6171", "6171 3 2057", "2057 11 187", "187 11 17", "17 17 1" ]
3054727
13 234979
[ "3054727 13 234979", "234979 234979 1" ]
95678
2 11 4349
[ "95678 2 47839", "47839 11 4349", "4349 4349 1" ]
3500066
2 19 92107
[ "3500066 2 1750033", "1750033 19 92107", "92107 92107 1" ]
270211
37 67 109
[ "270211 37 7303", "7303 67 109", "109 109 1" ]
4869922
2 17 43 3331
[ "4869922 2 2434961", "2434961 17 143233", "143233 43 3331", "3331 3331 1" ]
4400796
2 2 3 366733
[ "4400796 2 2200398", "2200398 2 1100199", "1100199 3 366733", "366733 366733 1" ]
991764
2 2 3 3 3 3 3061
[ "991764 2 495882", "495882 2 247941", "247941 3 82647", "82647 3 27549", "27549 3 9183", "9183 3 3061", "3061 3061 1" ]
1426793
17 17 4937
[ "1426793 17 83929", "83929 17 4937", "4937 4937 1" ]
1032380
2 2 5 41 1259
[ "1032380 2 516190", "516190 2 258095", "258095 5 51619", "51619 41 1259", "1259 1259 1" ]
2110282
2 1055141
[ "2110282 2 1055141", "1055141 1055141 1" ]
1105487
43 47 547
[ "1105487 43 25709", "25709 47 547", "547 547 1" ]
1569266
2 97 8089
[ "1569266 2 784633", "784633 97 8089", "8089 8089 1" ]
1498804
2 2 374701
[ "1498804 2 749402", "749402 2 374701", "374701 374701 1" ]
4852923
3 19 19 4481
[ "4852923 3 1617641", "1617641 19 85139", "85139 19 4481", "4481 4481 1" ]
3199884
2 2 3 467 571
[ "3199884 2 1599942", "1599942 2 799971", "799971 3 266657", "266657 467 571", "571 571 1" ]
3951794
2 7 11 67 383
[ "3951794 2 1975897", "1975897 7 282271", "282271 11 25661", "25661 67 383", "383 383 1" ]