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
1291759
7 109 1693
[ "1291759 7 184537", "184537 109 1693", "1693 1693 1" ]
2414953
37 65269
[ "2414953 37 65269", "65269 65269 1" ]
4326846
2 3 721141
[ "4326846 2 2163423", "2163423 3 721141", "721141 721141 1" ]
3261218
2 139 11731
[ "3261218 2 1630609", "1630609 139 11731", "11731 11731 1" ]
4356479
4356479
[ "4356479 4356479 1" ]
112110
2 3 5 37 101
[ "112110 2 56055", "56055 3 18685", "18685 5 3737", "3737 37 101", "101 101 1" ]
255324
2 2 3 21277
[ "255324 2 127662", "127662 2 63831", "63831 3 21277", "21277 21277 1" ]
3344210
2 5 334421
[ "3344210 2 1672105", "1672105 5 334421", "334421 334421 1" ]
1070462
2 311 1721
[ "1070462 2 535231", "535231 311 1721", "1721 1721 1" ]
683680
2 2 2 2 2 5 4273
[ "683680 2 341840", "341840 2 170920", "170920 2 85460", "85460 2 42730", "42730 2 21365", "21365 5 4273", "4273 4273 1" ]
3220636
2 2 805159
[ "3220636 2 1610318", "1610318 2 805159", "805159 805159 1" ]
2088888
2 2 2 3 87037
[ "2088888 2 1044444", "1044444 2 522222", "522222 2 261111", "261111 3 87037", "87037 87037 1" ]
523898
2 41 6389
[ "523898 2 261949", "261949 41 6389", "6389 6389 1" ]
4308506
2 461 4673
[ "4308506 2 2154253", "2154253 461 4673", "4673 4673 1" ]
3862047
3 7 183907
[ "3862047 3 1287349", "1287349 7 183907", "183907 183907 1" ]
3181860
2 2 3 3 5 11 1607
[ "3181860 2 1590930", "1590930 2 795465", "795465 3 265155", "265155 3 88385", "88385 5 17677", "17677 11 1607", "1607 1607 1" ]
3206596
2 2 43 103 181
[ "3206596 2 1603298", "1603298 2 801649", "801649 43 18643", "18643 103 181", "181 181 1" ]
4354974
2 3 3 13 37 503
[ "4354974 2 2177487", "2177487 3 725829", "725829 3 241943", "241943 13 18611", "18611 37 503", "503 503 1" ]
2166656
2 2 2 2 2 2 2 16927
[ "2166656 2 1083328", "1083328 2 541664", "541664 2 270832", "270832 2 135416", "135416 2 67708", "67708 2 33854", "33854 2 16927", "16927 16927 1" ]
2016792
2 2 2 3 3 3 9337
[ "2016792 2 1008396", "1008396 2 504198", "504198 2 252099", "252099 3 84033", "84033 3 28011", "28011 3 9337", "9337 9337 1" ]
1707796
2 2 19 23 977
[ "1707796 2 853898", "853898 2 426949", "426949 19 22471", "22471 23 977", "977 977 1" ]
1760710
2 5 7 25153
[ "1760710 2 880355", "880355 5 176071", "176071 7 25153", "25153 25153 1" ]
1982480
2 2 2 2 5 24781
[ "1982480 2 991240", "991240 2 495620", "495620 2 247810", "247810 2 123905", "123905 5 24781", "24781 24781 1" ]
1129859
1129859
[ "1129859 1129859 1" ]
56288
2 2 2 2 2 1759
[ "56288 2 28144", "28144 2 14072", "14072 2 7036", "7036 2 3518", "3518 2 1759", "1759 1759 1" ]
4813162
2 43 55967
[ "4813162 2 2406581", "2406581 43 55967", "55967 55967 1" ]
4762050
2 3 5 5 53 599
[ "4762050 2 2381025", "2381025 3 793675", "793675 5 158735", "158735 5 31747", "31747 53 599", "599 599 1" ]
1504689
3 501563
[ "1504689 3 501563", "501563 501563 1" ]
152598
2 3 29 877
[ "152598 2 76299", "76299 3 25433", "25433 29 877", "877 877 1" ]
2314212
2 2 3 31 6221
[ "2314212 2 1157106", "1157106 2 578553", "578553 3 192851", "192851 31 6221", "6221 6221 1" ]
2513736
2 2 2 3 3 34913
[ "2513736 2 1256868", "1256868 2 628434", "628434 2 314217", "314217 3 104739", "104739 3 34913", "34913 34913 1" ]
1089053
7 155579
[ "1089053 7 155579", "155579 155579 1" ]
3379223
3379223
[ "3379223 3379223 1" ]
1664284
2 2 416071
[ "1664284 2 832142", "832142 2 416071", "416071 416071 1" ]
3870834
2 3 11 223 263
[ "3870834 2 1935417", "1935417 3 645139", "645139 11 58649", "58649 223 263", "263 263 1" ]
1446344
2 2 2 180793
[ "1446344 2 723172", "723172 2 361586", "361586 2 180793", "180793 180793 1" ]
944365
5 67 2819
[ "944365 5 188873", "188873 67 2819", "2819 2819 1" ]
4364505
3 3 5 96989
[ "4364505 3 1454835", "1454835 3 484945", "484945 5 96989", "96989 96989 1" ]
4203139
4203139
[ "4203139 4203139 1" ]
2048950
2 5 5 43 953
[ "2048950 2 1024475", "1024475 5 204895", "204895 5 40979", "40979 43 953", "953 953 1" ]
4077866
2 13 156841
[ "4077866 2 2038933", "2038933 13 156841", "156841 156841 1" ]
383841
3 3 42649
[ "383841 3 127947", "127947 3 42649", "42649 42649 1" ]
4622615
5 924523
[ "4622615 5 924523", "924523 924523 1" ]
4815238
2 139 17321
[ "4815238 2 2407619", "2407619 139 17321", "17321 17321 1" ]
2915436
2 2 3 19 19 673
[ "2915436 2 1457718", "1457718 2 728859", "728859 3 242953", "242953 19 12787", "12787 19 673", "673 673 1" ]
741596
2 2 397 467
[ "741596 2 370798", "370798 2 185399", "185399 397 467", "467 467 1" ]
2547302
2 29 37 1187
[ "2547302 2 1273651", "1273651 29 43919", "43919 37 1187", "1187 1187 1" ]
86641
23 3767
[ "86641 23 3767", "3767 3767 1" ]
4673222
2 53 44087
[ "4673222 2 2336611", "2336611 53 44087", "44087 44087 1" ]
559582
2 47 5953
[ "559582 2 279791", "279791 47 5953", "5953 5953 1" ]
2573849
631 4079
[ "2573849 631 4079", "4079 4079 1" ]
3431140
2 2 5 23 7459
[ "3431140 2 1715570", "1715570 2 857785", "857785 5 171557", "171557 23 7459", "7459 7459 1" ]
3786686
2 97 131 149
[ "3786686 2 1893343", "1893343 97 19519", "19519 131 149", "149 149 1" ]
570124
2 2 23 6197
[ "570124 2 285062", "285062 2 142531", "142531 23 6197", "6197 6197 1" ]
4521925
5 5 191 947
[ "4521925 5 904385", "904385 5 180877", "180877 191 947", "947 947 1" ]
4964905
5 11 90271
[ "4964905 5 992981", "992981 11 90271", "90271 90271 1" ]
3613243
67 199 271
[ "3613243 67 53929", "53929 199 271", "271 271 1" ]
1110568
2 2 2 138821
[ "1110568 2 555284", "555284 2 277642", "277642 2 138821", "138821 138821 1" ]
4979275
5 5 7 37 769
[ "4979275 5 995855", "995855 5 199171", "199171 7 28453", "28453 37 769", "769 769 1" ]
2938417
281 10457
[ "2938417 281 10457", "10457 10457 1" ]
2195141
13 13 31 419
[ "2195141 13 168857", "168857 13 12989", "12989 31 419", "419 419 1" ]
2744753
11 47 5309
[ "2744753 11 249523", "249523 47 5309", "5309 5309 1" ]
4775051
4775051
[ "4775051 4775051 1" ]
2472003
3 3 274667
[ "2472003 3 824001", "824001 3 274667", "274667 274667 1" ]
2108694
2 3 7 50207
[ "2108694 2 1054347", "1054347 3 351449", "351449 7 50207", "50207 50207 1" ]
612326
2 11 13 2141
[ "612326 2 306163", "306163 11 27833", "27833 13 2141", "2141 2141 1" ]
3861736
2 2 2 482717
[ "3861736 2 1930868", "1930868 2 965434", "965434 2 482717", "482717 482717 1" ]
3378564
2 2 3 3 3 7 41 109
[ "3378564 2 1689282", "1689282 2 844641", "844641 3 281547", "281547 3 93849", "93849 3 31283", "31283 7 4469", "4469 41 109", "109 109 1" ]
351159
3 117053
[ "351159 3 117053", "117053 117053 1" ]
3900220
2 2 5 191 1021
[ "3900220 2 1950110", "1950110 2 975055", "975055 5 195011", "195011 191 1021", "1021 1021 1" ]
884025
3 3 5 5 3929
[ "884025 3 294675", "294675 3 98225", "98225 5 19645", "19645 5 3929", "3929 3929 1" ]
4047251
13 433 719
[ "4047251 13 311327", "311327 433 719", "719 719 1" ]
416690
2 5 41669
[ "416690 2 208345", "208345 5 41669", "41669 41669 1" ]
4637246
2 2318623
[ "4637246 2 2318623", "2318623 2318623 1" ]
332269
7 7 6781
[ "332269 7 47467", "47467 7 6781", "6781 6781 1" ]
2235752
2 2 2 53 5273
[ "2235752 2 1117876", "1117876 2 558938", "558938 2 279469", "279469 53 5273", "5273 5273 1" ]
80184
2 2 2 3 13 257
[ "80184 2 40092", "40092 2 20046", "20046 2 10023", "10023 3 3341", "3341 13 257", "257 257 1" ]
4432275
3 3 5 5 19699
[ "4432275 3 1477425", "1477425 3 492475", "492475 5 98495", "98495 5 19699", "19699 19699 1" ]
4253367
3 23 61643
[ "4253367 3 1417789", "1417789 23 61643", "61643 61643 1" ]
4063816
2 2 2 17 29881
[ "4063816 2 2031908", "2031908 2 1015954", "1015954 2 507977", "507977 17 29881", "29881 29881 1" ]
3324159
3 3 3 3 41039
[ "3324159 3 1108053", "1108053 3 369351", "369351 3 123117", "123117 3 41039", "41039 41039 1" ]
3896288
2 2 2 2 2 11 11069
[ "3896288 2 1948144", "1948144 2 974072", "974072 2 487036", "487036 2 243518", "243518 2 121759", "121759 11 11069", "11069 11069 1" ]
598753
173 3461
[ "598753 173 3461", "3461 3461 1" ]
4138116
2 2 3 344843
[ "4138116 2 2069058", "2069058 2 1034529", "1034529 3 344843", "344843 344843 1" ]
1696746
2 3 37 7643
[ "1696746 2 848373", "848373 3 282791", "282791 37 7643", "7643 7643 1" ]
358419
3 37 3229
[ "358419 3 119473", "119473 37 3229", "3229 3229 1" ]
3444981
3 1148327
[ "3444981 3 1148327", "1148327 1148327 1" ]
3553553
3553553
[ "3553553 3553553 1" ]
4533696
2 2 2 2 2 2 3 3 17 463
[ "4533696 2 2266848", "2266848 2 1133424", "1133424 2 566712", "566712 2 283356", "283356 2 141678", "141678 2 70839", "70839 3 23613", "23613 3 7871", "7871 17 463", "463 463 1" ]
4759017
3 1586339
[ "4759017 3 1586339", "1586339 1586339 1" ]
3817661
313 12197
[ "3817661 313 12197", "12197 12197 1" ]
318153
3 11 31 311
[ "318153 3 106051", "106051 11 9641", "9641 31 311", "311 311 1" ]
2500986
2 3 523 797
[ "2500986 2 1250493", "1250493 3 416831", "416831 523 797", "797 797 1" ]
2030361
3 17 41 971
[ "2030361 3 676787", "676787 17 39811", "39811 41 971", "971 971 1" ]
3030142
2 67 22613
[ "3030142 2 1515071", "1515071 67 22613", "22613 22613 1" ]
581941
581941
[ "581941 581941 1" ]
4449850
2 5 5 88997
[ "4449850 2 2224925", "2224925 5 444985", "444985 5 88997", "88997 88997 1" ]
784169
59 13291
[ "784169 59 13291", "13291 13291 1" ]
933572
2 2 17 13729
[ "933572 2 466786", "466786 2 233393", "233393 17 13729", "13729 13729 1" ]
2003359
2003359
[ "2003359 2003359 1" ]