What three numbers multiply to get 204?

What three numbers multiply to get 204? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 204. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 204

First, note that all numbers must be 204 or less, which means that there are 204 × 204 × 204 possible solutions. Thus, to get the answer to "What three numbers multiply to get 204?" we looked at 8,489,664 different combinations to see which ones equal 204.

When we looked at all those combinations, we found 54 different combinations of 3 numbers that equal 204 when multiplied together. Here are all 3 number combinations that you can multiply to get 204:

204 × 1 × 1 = 204
102 × 2 × 1 = 204
102 × 1 × 2 = 204
68 × 3 × 1 = 204
68 × 1 × 3 = 204
51 × 4 × 1 = 204
51 × 2 × 2 = 204
51 × 1 × 4 = 204
34 × 6 × 1 = 204
34 × 3 × 2 = 204
34 × 2 × 3 = 204
34 × 1 × 6 = 204
17 × 12 × 1 = 204
17 × 6 × 2 = 204
17 × 4 × 3 = 204
17 × 3 × 4 = 204
17 × 2 × 6 = 204
17 × 1 × 12 = 204
12 × 17 × 1 = 204
12 × 1 × 17 = 204
6 × 34 × 1 = 204
6 × 17 × 2 = 204
6 × 2 × 17 = 204
6 × 1 × 34 = 204
4 × 51 × 1 = 204
4 × 17 × 3 = 204
4 × 3 × 17 = 204
4 × 1 × 51 = 204
3 × 68 × 1 = 204
3 × 34 × 2 = 204
3 × 17 × 4 = 204
3 × 4 × 17 = 204
3 × 2 × 34 = 204
3 × 1 × 68 = 204
2 × 102 × 1 = 204
2 × 51 × 2 = 204
2 × 34 × 3 = 204
2 × 17 × 6 = 204
2 × 6 × 17 = 204
2 × 3 × 34 = 204
2 × 2 × 51 = 204
2 × 1 × 102 = 204
1 × 204 × 1 = 204
1 × 102 × 2 = 204
1 × 68 × 3 = 204
1 × 51 × 4 = 204
1 × 34 × 6 = 204
1 × 17 × 12 = 204
1 × 12 × 17 = 204
1 × 6 × 34 = 204
1 × 4 × 51 = 204
1 × 3 × 68 = 204
1 × 2 × 102 = 204
1 × 1 × 204 = 204

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What three numbers multiply to get 205?
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