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25x25 puzzle factor tables https://www.calcudoku.org/forum/viewtopic.php?f=3&t=1405 
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Author:  skeeter84 [ Thu Dec 02, 2021 6:33 am ] 
Post subject:  25x25 puzzle factor tables 
Hello, everyone. Seventeen people have solved the 25x25 as of this message, and I'm sure Patrick and fzpowerman would love to see that number go even higher. To that end, I present you all with 2cell and 3cell factor tables. I made factoring tables for myself when I did the 19x19 and 20x20 puzzles, and the stuff I included was "made to order" specifically for them. The list below now covers 125 inclusive and may come in handy for solving fzpowerman's 25x25 behemoth. I don't know what exactly you're up against in Patrick's latest puzzle book, but this will hopefully be helpful. Although my lists do not and cannot possibly cover everything, I feel I've covered a decent amount. Enjoy! skeeter84 2 cells 2 >>> 1x2 3 >>> 1x3 4 >>> 1x4; 2x2 5 >>> 5x1 6 >>> 1x6; 2x3 7 >>> 1x7 8 >>> 1x8; 2x4 9 >>> 1x9; 3x3 10 >>> 1x10; 2x5 11 >>> 1x11 12 >>> 1x12; 2x6; 3x4 13 >>> 1x13 14 >>> 1x14; 2x7 15 >>> 1x15; 3x5 16 >>> 1x16; 2x8; 4x4 17 >>> 1x17 18 >>> 1x18; 2x9; 3x6 19 >>> 1x19 20 >>> 1x20; 2x10; 4x5 21 >>> 1x21; 3x7 22 >>> 1x22; 2x11 23 >>> 1x23 24 >>> 1x24; 2x12; 3x8; 4x6 25 >>> 1x25; 5x5 26 >>> 2x13 27 >>> 3x9 28 >>> 2x14; 4x7 30 >>> 2x15; 3x10; 5x6 32 >>> 2x16; 4x8 34 >>> 2x17 35 >>> 5x7 36 >>> 2x18; 3x12; 4x9; 6x6 38 >>> 2x19 39 >>> 3x13 40 >>> 2x20; 4x10; 5x8 42 >>> 2x21; 3x14; 6x7 44 >>> 2x22; 4x11 45 >>> 3x15; 5x9 46 >>> 2x23 48 >>> 3x16; 4x12; 6x8; 2x24 49 >>> 7x7 50 >>> 2x25; 5x10 51 >>> 3x17 52 >>> 4x13 54 >>> 3x18; 6x9 55 >>> 5x11 56 >>> 4x14; 7x8 57 >>> 3x19 60 >>> 3x20; 4x15; 5x12; 6x10 63 >>> 3x21; 7x9 64 >>> 4x16; 8x8 65 >>> 5x13 66 >>> 3x22; 6x11 68 >>> 4x17 69 >>> 3x23 70 >>> 5x14; 7x10 72 >>> 8x9; 4x18; 6x12; 3x24 75 >>> 5x15; 3x25 76 >>> 4x19 77 >>> 7x11 78 >>> 6x13 80 >>> 4x20; 5x16; 8x10 84 >>> 6x14; 7x12; 4x21 85 >>> 5x17 88 >>> 4x22; 8x11 90 >>> 5x18; 6x15; 9x10 91 >>> 7x13 92 >>> 4x23 95 >>> 5x19 96 >>> 6x16; 8x12; 4x24 98 >>> 7x14 99 >>> 9x11 100 >>> 10x10; 5x20; 4x25 102 >>> 6x17 104 >>> 8x13 105 >>> 7x15; 5x21 108 >>> 6x18; 9x12 110 >>> 10x11; 5x22 112 >>> 7x16; 8x14 114 >>> 6x19 117 >>> 9x13 119 >>> 7x17 120 >>> 5x24; 6x20; 8x15; 10x12 126 >>> 7x18; 9x14; 6x21 128 >>> 8x16 130 >>> 10x13 133 >>> 7x19 135 >>> 9x15 136 >>> 8x17 140 >>> 7x20; 10x14 143 >>> 11x13 144 >>> 12x12; 9x16; 8x18; 6x24 147 >>> 7x21 150 >>> 10x15; 6x25 152 >>> 8x19 153 >>> 9x17 154 >>> 11x14; 7x22 162 >>> 9x18 168 >>> 7x24; 8x21; 12x14 170 >>> 10x17 171 >>> 9x19 175 >>> 7x25 176 >>> 11x16; 8x22 180 >>> 9x20; 10x18; 12x15 182 >>> 13x14 187 >>> 11x17 190 >>> 10x19 192 >>> 8x24; 12x16 198 >>> 9x22; 11x18 200 >>> 8x25; 10x20 204 >>> 12x17 208 >>> 13x16 209 >>> 11x19 210 >>> 10x21; 14x15 216 >>> 9x24; 12x18 220 >>> 10x22; 11x20 221 >>> 13x17 224 >>> 14x16 225 >>> 9x25; 15x15 234 >>> 13x18 238 >>> 14x17 240 >>> 12x20; 15x16; 10x24 252 >>> 12x21; 14x18 255 >>> 15x17 260 >>> 13x20 266 >>> 14x19 270 >>> 15x18 272 >>> 16x17 280 >>> 14x20 285 >>> 15x19 288 >>> 12x24; 16x18 294 >>> 14x21 304 >>> 16x19 306 >>> 17x18 315 >>> 15x21 322 >>> 14x23 323 >>> 17x19 325 >>> 13x25 336 >>> 14x24; 16x21 340 >>> 17x20 342 >>> 18x19 360 >>> 18x20; 15x24 384 >>> 16x24 408 >>> 17x24 420 >>> 20x21 3 cells 90 >>> 2x5x9; 2x15x3; 3x5x6; 3x10x3; 9x10x1; 15x1x6; 18x1x5 210 >>> 1x10x21; 1x14x15; 2x7x15; 2x5x21; 3x5x14; 3x7x10; 5x6x7 216 >>> 18x2x6; 18x3x4; 18x12x1; 12x6x3; 12x2x9; 6x6x6; 6x4x9; 3x8x9; 24x3x3; 24x1x9 280 >>> 20x14x1; 20x7x2; 14x10x2; 10x7x4; 14x5x4; 8x7x5 378 >>> 21x1x18; 21x2x9; 21x3x6; 6x7x9; 14x3x9; 18x3x7 539 >>> 11x7x7 540 >>> 12x5x9; 12x15x3; 15x6x6; 15x4x9; 10x9x6; 18x15x2; 20x9x3; 18x10x3; 18x5x6 594 >>> 3x9x22; 3x11x18; 6x9x11 650 >>> 2x13x25; 5x10x13 672 >>> 2x14x24; 2x16x21; 3x14x16; 4x7x24; 4x8x21; 4x12x14; 6x7x16; 6x8x14; 7x8x12 715 >>> 5x11x13 720 >>> 2x18x20; 2x15x24; 3x12x20; 3x15x16; 3x10x24; 4x9x20; 4x10x18; 4x12x15; 5x12x12; 5x9x16; 5x8x18; 5x6x24; 6x6x20; 6x8x15; 6x10x12; 8x9x10 756 >>> 21x2x18; 21x3x12; 21x4x9; 21x6x6; 18x14x3; 18x7x6; 14x9x6; 12x9x7 850 >>> 25x2x17; 5x10x17 935 >>> 5x11x17 1026 >>> 19x18x3; 19x9x6 1040 >>> 4x13x20; 5x13x16; 8x10x13 1080 >>> 3x18x20; 3x15x24; 4x15x18; 5x9x24; 5x12x18; 6x9x20; 6x10x18; 6x12x15; 8x9x15; 9x10x12 1254 >>> 22x3x19; 19x11x6 1280 >>> 20x8x8; 20x16x4; 16x10x8; 16x16x5 1326 >>> 6x13x17 1360 >>> 4x17x20; 5x16x17; 8x10x17 1547 >>> 17x13x7 1989 >>> 9x13x17 1995 >>> 21x5x19; 19x15x7 2380 >>> 10x14x17; 20x17x7 2448 >>> 24x6x17; 12x12x17; 8x17x18; 17x16x9 2754 >>> 18x17x9 4080 >>> 10x17x24; 12x17x20; 15x16x17 4845 >>> 15x17x19 
Author:  clm [ Thu Dec 02, 2021 11:31 am ] 
Post subject:  Re: 25x25 puzzle factor tables 
skeeter84 wrote: Hello, everyone. Seventeen people have solved the 25x25 as of this message, and I'm sure Patrick and fzpowerman would love to see that number go even higher. To that end, I present you all with 2cell and 3cell factor tables. I made factoring tables for myself when I did the 19x19 and 20x20 puzzles, and the stuff I included was "made to order" specifically for them. The list below now covers 125 inclusive and may come in handy for solving fzpowerman's 25x25 behemoth. I don't know what exactly you're up against in Patrick's latest puzzle book, but this will hopefully be helpful. Although my lists do not and cannot possibly cover everything, I feel I've covered a decent amount. Enjoy! skeeter84 2 cells ... Thank you for the tables , good compilation job. It will be useful. A comment. Two cells must be contiguous so combinations of the type 2x2, 3x3, 4x4, 5x5, 6x6, 7x7, 8x8, ... are never possible, that is, the table can be simplified a little bit (same for 6x6x6 for 216... ). In the other hand, I observe the lack of other combinations like 100 in two cells (4x25; 5x20), 48 in 3 cells, etc., but it is clear that it's not possible to give all possible factorizations (the number of combinations, only without repetition, of 25 numbers, taken in groups of 3, is 2,300, so the list would be terrible. 
Author:  skeeter84 [ Thu Dec 02, 2021 11:50 pm ] 
Post subject:  Re: 25x25 puzzle factor tables 
Hi, clm  I'm glad you liked my tables. I'm well aware that a 2cell cage cannot contain the same number. I listed combos with repeat digits in case I come across a scenario like the one below: 90x in 3 cells and this cage contains a 10. The remaining product is 90/10 = 9. There are 2 ways to get the product of 9: 1x9 and 3x3. If this cage were in a straight line, 10x3x3 would be impossible since 3 repeats within a row or column. If, on the other hand, the cage in question were Lshaped, 10x3x3 COULD be the correct answer. I made no distinction between Lshaped and straight line cages for my 3cell combos, and my list covers both shapes simultaneously. Once again, I made my original combo tables for the 19x19 and 20x20 puzzles. In a 9x9 or 10x10 puzzle, 8x9 is the only way to get a product of 72 with 2 digits. In a 12x12, though, the answer might be 12x6 instead. When solving puzzles of different sizes, I simply exclude any combos with numbers above the puzzle's maximum digit. I probably should include more combos into my tables whenever I have time, though. skeeter84 
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