What three numbers multiply to get 162?

What three numbers multiply to get 162? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 162. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 162

First, note that all numbers must be 162 or less, which means that there are 162 × 162 × 162 possible solutions. Thus, to get the answer to "What three numbers multiply to get 162?" we looked at 4,251,528 different combinations to see which ones equal 162.

When we looked at all those combinations, we found 45 different combinations of 3 numbers that equal 162 when multiplied together. Here are all 3 number combinations that you can multiply to get 162:

162 × 1 × 1 = 162
81 × 2 × 1 = 162
81 × 1 × 2 = 162
54 × 3 × 1 = 162
54 × 1 × 3 = 162
27 × 6 × 1 = 162
27 × 3 × 2 = 162
27 × 2 × 3 = 162
27 × 1 × 6 = 162
18 × 9 × 1 = 162
18 × 3 × 3 = 162
18 × 1 × 9 = 162
9 × 18 × 1 = 162
9 × 9 × 2 = 162
9 × 6 × 3 = 162
9 × 3 × 6 = 162
9 × 2 × 9 = 162
9 × 1 × 18 = 162
6 × 27 × 1 = 162
6 × 9 × 3 = 162
6 × 3 × 9 = 162
6 × 1 × 27 = 162
3 × 54 × 1 = 162
3 × 27 × 2 = 162
3 × 18 × 3 = 162
3 × 9 × 6 = 162
3 × 6 × 9 = 162
3 × 3 × 18 = 162
3 × 2 × 27 = 162
3 × 1 × 54 = 162
2 × 81 × 1 = 162
2 × 27 × 3 = 162
2 × 9 × 9 = 162
2 × 3 × 27 = 162
2 × 1 × 81 = 162
1 × 162 × 1 = 162
1 × 81 × 2 = 162
1 × 54 × 3 = 162
1 × 27 × 6 = 162
1 × 18 × 9 = 162
1 × 9 × 18 = 162
1 × 6 × 27 = 162
1 × 3 × 54 = 162
1 × 2 × 81 = 162
1 × 1 × 162 = 162

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What three numbers multiply to get 163?
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