What three numbers multiply to get 112?

What three numbers multiply to get 112? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 112. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 112

First, note that all numbers must be 112 or less, which means that there are 112 × 112 × 112 possible solutions. Thus, to get the answer to "What three numbers multiply to get 112?" we looked at 1,404,928 different combinations to see which ones equal 112.

When we looked at all those combinations, we found 45 different combinations of 3 numbers that equal 112 when multiplied together. Here are all 3 number combinations that you can multiply to get 112:

112 × 1 × 1 = 112
56 × 2 × 1 = 112
56 × 1 × 2 = 112
28 × 4 × 1 = 112
28 × 2 × 2 = 112
28 × 1 × 4 = 112
16 × 7 × 1 = 112
16 × 1 × 7 = 112
14 × 8 × 1 = 112
14 × 4 × 2 = 112
14 × 2 × 4 = 112
14 × 1 × 8 = 112
8 × 14 × 1 = 112
8 × 7 × 2 = 112
8 × 2 × 7 = 112
8 × 1 × 14 = 112
7 × 16 × 1 = 112
7 × 8 × 2 = 112
7 × 4 × 4 = 112
7 × 2 × 8 = 112
7 × 1 × 16 = 112
4 × 28 × 1 = 112
4 × 14 × 2 = 112
4 × 7 × 4 = 112
4 × 4 × 7 = 112
4 × 2 × 14 = 112
4 × 1 × 28 = 112
2 × 56 × 1 = 112
2 × 28 × 2 = 112
2 × 14 × 4 = 112
2 × 8 × 7 = 112
2 × 7 × 8 = 112
2 × 4 × 14 = 112
2 × 2 × 28 = 112
2 × 1 × 56 = 112
1 × 112 × 1 = 112
1 × 56 × 2 = 112
1 × 28 × 4 = 112
1 × 16 × 7 = 112
1 × 14 × 8 = 112
1 × 8 × 14 = 112
1 × 7 × 16 = 112
1 × 4 × 28 = 112
1 × 2 × 56 = 112
1 × 1 × 112 = 112

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What three numbers multiply to get 113?
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