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
3723478
2 11 169249
[ "3723478 2 1861739", "1861739 11 169249", "169249 169249 1" ]
326595
3 5 21773
[ "326595 3 108865", "108865 5 21773", "21773 21773 1" ]
4048654
2 2024327
[ "4048654 2 2024327", "2024327 2024327 1" ]
4720792
2 2 2 590099
[ "4720792 2 2360396", "2360396 2 1180198", "1180198 2 590099", "590099 590099 1" ]
4773857
11 23 18869
[ "4773857 11 433987", "433987 23 18869", "18869 18869 1" ]
1885156
2 2 7 13 5179
[ "1885156 2 942578", "942578 2 471289", "471289 7 67327", "67327 13 5179", "5179 5179 1" ]
1536649
1536649
[ "1536649 1536649 1" ]
3498476
2 2 874619
[ "3498476 2 1749238", "1749238 2 874619", "874619 874619 1" ]
3688071
3 19 89 727
[ "3688071 3 1229357", "1229357 19 64703", "64703 89 727", "727 727 1" ]
2492557
17 151 971
[ "2492557 17 146621", "146621 151 971", "971 971 1" ]
1785394
2 13 68669
[ "1785394 2 892697", "892697 13 68669", "68669 68669 1" ]
2299816
2 2 2 23 29 431
[ "2299816 2 1149908", "1149908 2 574954", "574954 2 287477", "287477 23 12499", "12499 29 431", "431 431 1" ]
3245766
2 3 540961
[ "3245766 2 1622883", "1622883 3 540961", "540961 540961 1" ]
4095209
71 57679
[ "4095209 71 57679", "57679 57679 1" ]
3624862
2 1812431
[ "3624862 2 1812431", "1812431 1812431 1" ]
2478180
2 2 3 5 103 401
[ "2478180 2 1239090", "1239090 2 619545", "619545 3 206515", "206515 5 41303", "41303 103 401", "401 401 1" ]
3360471
3 1120157
[ "3360471 3 1120157", "1120157 1120157 1" ]
3425872
2 2 2 2 31 6907
[ "3425872 2 1712936", "1712936 2 856468", "856468 2 428234", "428234 2 214117", "214117 31 6907", "6907 6907 1" ]
3304581
3 7 37 4253
[ "3304581 3 1101527", "1101527 7 157361", "157361 37 4253", "4253 4253 1" ]
1348864
2 2 2 2 2 2 2 2 11 479
[ "1348864 2 674432", "674432 2 337216", "337216 2 168608", "168608 2 84304", "84304 2 42152", "42152 2 21076", "21076 2 10538", "10538 2 5269", "5269 11 479", "479 479 1" ]
198292
2 2 89 557
[ "198292 2 99146", "99146 2 49573", "49573 89 557", "557 557 1" ]
2807437
167 16811
[ "2807437 167 16811", "16811 16811 1" ]
4098806
2 89 23027
[ "4098806 2 2049403", "2049403 89 23027", "23027 23027 1" ]
1734241
419 4139
[ "1734241 419 4139", "4139 4139 1" ]
2992925
5 5 13 9209
[ "2992925 5 598585", "598585 5 119717", "119717 13 9209", "9209 9209 1" ]
1604019
3 29 103 179
[ "1604019 3 534673", "534673 29 18437", "18437 103 179", "179 179 1" ]
2028472
2 2 2 227 1117
[ "2028472 2 1014236", "1014236 2 507118", "507118 2 253559", "253559 227 1117", "1117 1117 1" ]
3180135
3 5 7 31 977
[ "3180135 3 1060045", "1060045 5 212009", "212009 7 30287", "30287 31 977", "977 977 1" ]
4268933
4268933
[ "4268933 4268933 1" ]
2719418
2 13 104593
[ "2719418 2 1359709", "1359709 13 104593", "104593 104593 1" ]
2768192
2 2 2 2 2 2 7 37 167
[ "2768192 2 1384096", "1384096 2 692048", "692048 2 346024", "346024 2 173012", "173012 2 86506", "86506 2 43253", "43253 7 6179", "6179 37 167", "167 167 1" ]
4565519
7 652217
[ "4565519 7 652217", "652217 652217 1" ]
3806789
7 543827
[ "3806789 7 543827", "543827 543827 1" ]
4372414
2 857 2551
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1603416
2 2 2 3 66809
[ "1603416 2 801708", "801708 2 400854", "400854 2 200427", "200427 3 66809", "66809 66809 1" ]
226701
3 3 25189
[ "226701 3 75567", "75567 3 25189", "25189 25189 1" ]
1338283
461 2903
[ "1338283 461 2903", "2903 2903 1" ]
175780
2 2 5 11 17 47
[ "175780 2 87890", "87890 2 43945", "43945 5 8789", "8789 11 799", "799 17 47", "47 47 1" ]
397497
3 132499
[ "397497 3 132499", "132499 132499 1" ]
1742149
47 101 367
[ "1742149 47 37067", "37067 101 367", "367 367 1" ]
3915284
2 2 978821
[ "3915284 2 1957642", "1957642 2 978821", "978821 978821 1" ]
4129830
2 3 3 5 45887
[ "4129830 2 2064915", "2064915 3 688305", "688305 3 229435", "229435 5 45887", "45887 45887 1" ]
2999536
2 2 2 2 187471
[ "2999536 2 1499768", "1499768 2 749884", "749884 2 374942", "374942 2 187471", "187471 187471 1" ]
3902590
2 5 31 12589
[ "3902590 2 1951295", "1951295 5 390259", "390259 31 12589", "12589 12589 1" ]
3178806
2 3 29 18269
[ "3178806 2 1589403", "1589403 3 529801", "529801 29 18269", "18269 18269 1" ]
3856166
2 457 4219
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673766
2 137 2459
[ "673766 2 336883", "336883 137 2459", "2459 2459 1" ]
2262373
113 20021
[ "2262373 113 20021", "20021 20021 1" ]
1816062
2 3 43 7039
[ "1816062 2 908031", "908031 3 302677", "302677 43 7039", "7039 7039 1" ]
1331955
3 3 5 29599
[ "1331955 3 443985", "443985 3 147995", "147995 5 29599", "29599 29599 1" ]
390648
2 2 2 3 41 397
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2188431
3 3 3 7 11579
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4904468
2 2 1226117
[ "4904468 2 2452234", "2452234 2 1226117", "1226117 1226117 1" ]
3912510
2 3 5 7 31 601
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4708119
3 13 120721
[ "4708119 3 1569373", "1569373 13 120721", "120721 120721 1" ]
2758743
3 3 13 17 19 73
[ "2758743 3 919581", "919581 3 306527", "306527 13 23579", "23579 17 1387", "1387 19 73", "73 73 1" ]
4718348
2 2 59 19993
[ "4718348 2 2359174", "2359174 2 1179587", "1179587 59 19993", "19993 19993 1" ]
1553004
2 2 3 3 179 241
[ "1553004 2 776502", "776502 2 388251", "388251 3 129417", "129417 3 43139", "43139 179 241", "241 241 1" ]
4275850
2 5 5 85517
[ "4275850 2 2137925", "2137925 5 427585", "427585 5 85517", "85517 85517 1" ]
4892110
2 5 31 43 367
[ "4892110 2 2446055", "2446055 5 489211", "489211 31 15781", "15781 43 367", "367 367 1" ]
2890445
5 293 1973
[ "2890445 5 578089", "578089 293 1973", "1973 1973 1" ]
3298185
3 3 3 5 11 2221
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4469868
2 2 3 3 13 9551
[ "4469868 2 2234934", "2234934 2 1117467", "1117467 3 372489", "372489 3 124163", "124163 13 9551", "9551 9551 1" ]
3200703
3 11 23 4217
[ "3200703 3 1066901", "1066901 11 96991", "96991 23 4217", "4217 4217 1" ]
4269792
2 2 2 2 2 3 79 563
[ "4269792 2 2134896", "2134896 2 1067448", "1067448 2 533724", "533724 2 266862", "266862 2 133431", "133431 3 44477", "44477 79 563", "563 563 1" ]
3233952
2 2 2 2 2 3 3 3 19 197
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2778035
5 13 79 541
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3016700
2 2 5 5 97 311
[ "3016700 2 1508350", "1508350 2 754175", "754175 5 150835", "150835 5 30167", "30167 97 311", "311 311 1" ]
2685269
17 191 827
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4818402
2 3 3 41 6529
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1173195
3 3 5 29 29 31
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4310723
73 59051
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1690763
59 28657
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1659067
1659067
[ "1659067 1659067 1" ]
1759601
139 12659
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3897650
2 5 5 137 569
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2807965
5 431 1303
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4751523
3 3 7 199 379
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4935788
2 2 11 13 8629
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125020
2 2 5 7 19 47
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3050248
2 2 2 43 8867
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430031
7 23 2671
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4882763
131 37273
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4181978
2 2090989
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1985126
2 11 11 13 631
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201601
449 449
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4464260
2 2 5 29 43 179
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3427250
2 5 5 5 13709
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4031006
2 7 17 16937
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4116215
5 823243
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4131629
17 47 5171
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3823315
5 653 1171
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3834089
7 547727
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2892838
2 13 111263
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4318044
2 2 3 359837
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4451314
2 7 17 59 317
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728335
5 29 5023
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2646879
3 151 5843
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4819016
2 2 2 602377
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4939195
5 43 22973
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