What three numbers multiply to get 156?

What three numbers multiply to get 156? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 156. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 156

First, note that all numbers must be 156 or less, which means that there are 156 × 156 × 156 possible solutions. Thus, to get the answer to "What three numbers multiply to get 156?" we looked at 3,796,416 different combinations to see which ones equal 156.

When we looked at all those combinations, we found 54 different combinations of 3 numbers that equal 156 when multiplied together. Here are all 3 number combinations that you can multiply to get 156:

156 × 1 × 1 = 156
78 × 2 × 1 = 156
78 × 1 × 2 = 156
52 × 3 × 1 = 156
52 × 1 × 3 = 156
39 × 4 × 1 = 156
39 × 2 × 2 = 156
39 × 1 × 4 = 156
26 × 6 × 1 = 156
26 × 3 × 2 = 156
26 × 2 × 3 = 156
26 × 1 × 6 = 156
13 × 12 × 1 = 156
13 × 6 × 2 = 156
13 × 4 × 3 = 156
13 × 3 × 4 = 156
13 × 2 × 6 = 156
13 × 1 × 12 = 156
12 × 13 × 1 = 156
12 × 1 × 13 = 156
6 × 26 × 1 = 156
6 × 13 × 2 = 156
6 × 2 × 13 = 156
6 × 1 × 26 = 156
4 × 39 × 1 = 156
4 × 13 × 3 = 156
4 × 3 × 13 = 156
4 × 1 × 39 = 156
3 × 52 × 1 = 156
3 × 26 × 2 = 156
3 × 13 × 4 = 156
3 × 4 × 13 = 156
3 × 2 × 26 = 156
3 × 1 × 52 = 156
2 × 78 × 1 = 156
2 × 39 × 2 = 156
2 × 26 × 3 = 156
2 × 13 × 6 = 156
2 × 6 × 13 = 156
2 × 3 × 26 = 156
2 × 2 × 39 = 156
2 × 1 × 78 = 156
1 × 156 × 1 = 156
1 × 78 × 2 = 156
1 × 52 × 3 = 156
1 × 39 × 4 = 156
1 × 26 × 6 = 156
1 × 13 × 12 = 156
1 × 12 × 13 = 156
1 × 6 × 26 = 156
1 × 4 × 39 = 156
1 × 3 × 52 = 156
1 × 2 × 78 = 156
1 × 1 × 156 = 156

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What three numbers multiply to get 157?
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