What three numbers multiply to get 108?




What three numbers multiply to get 108? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 108. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 108

First, note that all numbers must be 108 or less, which means that there are 108 × 108 × 108 possible solutions. Thus, to get the answer to "What three numbers multiply to get 108?" we looked at 1,259,712 different combinations to see which ones equal 108.


When we looked at all those combinations, we found 60 different combinations of 3 numbers that equal 108 when multiplied together. Here are all 3 number combinations that you can multiply to get 108:

108 × 1 × 1 = 108
54 × 2 × 1 = 108
54 × 1 × 2 = 108
36 × 3 × 1 = 108
36 × 1 × 3 = 108
27 × 4 × 1 = 108
27 × 2 × 2 = 108
27 × 1 × 4 = 108
18 × 6 × 1 = 108
18 × 3 × 2 = 108
18 × 2 × 3 = 108
18 × 1 × 6 = 108
12 × 9 × 1 = 108
12 × 3 × 3 = 108
12 × 1 × 9 = 108
9 × 12 × 1 = 108
9 × 6 × 2 = 108
9 × 4 × 3 = 108
9 × 3 × 4 = 108
9 × 2 × 6 = 108
9 × 1 × 12 = 108
6 × 18 × 1 = 108
6 × 9 × 2 = 108
6 × 6 × 3 = 108
6 × 3 × 6 = 108
6 × 2 × 9 = 108
6 × 1 × 18 = 108
4 × 27 × 1 = 108
4 × 9 × 3 = 108
4 × 3 × 9 = 108
4 × 1 × 27 = 108
3 × 36 × 1 = 108
3 × 18 × 2 = 108
3 × 12 × 3 = 108
3 × 9 × 4 = 108
3 × 6 × 6 = 108
3 × 4 × 9 = 108
3 × 3 × 12 = 108
3 × 2 × 18 = 108
3 × 1 × 36 = 108
2 × 54 × 1 = 108
2 × 27 × 2 = 108
2 × 18 × 3 = 108
2 × 9 × 6 = 108
2 × 6 × 9 = 108
2 × 3 × 18 = 108
2 × 2 × 27 = 108
2 × 1 × 54 = 108
1 × 108 × 1 = 108
1 × 54 × 2 = 108
1 × 36 × 3 = 108
1 × 27 × 4 = 108
1 × 18 × 6 = 108
1 × 12 × 9 = 108
1 × 9 × 12 = 108
1 × 6 × 18 = 108
1 × 4 × 27 = 108
1 × 3 × 36 = 108
1 × 2 × 54 = 108
1 × 1 × 108 = 108


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What three numbers multiply to get 109?
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