What three numbers multiply to get 84?

What three numbers multiply to get 84? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 84. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 84

First, note that all numbers must be 84 or less, which means that there are 84 × 84 × 84 possible solutions. Thus, to get the answer to "What three numbers multiply to get 84?" we looked at 592,704 different combinations to see which ones equal 84.

When we looked at all those combinations, we found 54 different combinations of 3 numbers that equal 84 when multiplied together. Here are all 3 number combinations that you can multiply to get 84:

84 × 1 × 1 = 84
42 × 2 × 1 = 84
42 × 1 × 2 = 84
28 × 3 × 1 = 84
28 × 1 × 3 = 84
21 × 4 × 1 = 84
21 × 2 × 2 = 84
21 × 1 × 4 = 84
14 × 6 × 1 = 84
14 × 3 × 2 = 84
14 × 2 × 3 = 84
14 × 1 × 6 = 84
12 × 7 × 1 = 84
12 × 1 × 7 = 84
7 × 12 × 1 = 84
7 × 6 × 2 = 84
7 × 4 × 3 = 84
7 × 3 × 4 = 84
7 × 2 × 6 = 84
7 × 1 × 12 = 84
6 × 14 × 1 = 84
6 × 7 × 2 = 84
6 × 2 × 7 = 84
6 × 1 × 14 = 84
4 × 21 × 1 = 84
4 × 7 × 3 = 84
4 × 3 × 7 = 84
4 × 1 × 21 = 84
3 × 28 × 1 = 84
3 × 14 × 2 = 84
3 × 7 × 4 = 84
3 × 4 × 7 = 84
3 × 2 × 14 = 84
3 × 1 × 28 = 84
2 × 42 × 1 = 84
2 × 21 × 2 = 84
2 × 14 × 3 = 84
2 × 7 × 6 = 84
2 × 6 × 7 = 84
2 × 3 × 14 = 84
2 × 2 × 21 = 84
2 × 1 × 42 = 84
1 × 84 × 1 = 84
1 × 42 × 2 = 84
1 × 28 × 3 = 84
1 × 21 × 4 = 84
1 × 14 × 6 = 84
1 × 12 × 7 = 84
1 × 7 × 12 = 84
1 × 6 × 14 = 84
1 × 4 × 21 = 84
1 × 3 × 28 = 84
1 × 2 × 42 = 84
1 × 1 × 84 = 84

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What three numbers multiply to get 85?
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