What three numbers multiply to get 198?

What three numbers multiply to get 198? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 198. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 198

First, note that all numbers must be 198 or less, which means that there are 198 × 198 × 198 possible solutions. Thus, to get the answer to "What three numbers multiply to get 198?" we looked at 7,762,392 different combinations to see which ones equal 198.

When we looked at all those combinations, we found 54 different combinations of 3 numbers that equal 198 when multiplied together. Here are all 3 number combinations that you can multiply to get 198:

198 × 1 × 1 = 198
99 × 2 × 1 = 198
99 × 1 × 2 = 198
66 × 3 × 1 = 198
66 × 1 × 3 = 198
33 × 6 × 1 = 198
33 × 3 × 2 = 198
33 × 2 × 3 = 198
33 × 1 × 6 = 198
22 × 9 × 1 = 198
22 × 3 × 3 = 198
22 × 1 × 9 = 198
18 × 11 × 1 = 198
18 × 1 × 11 = 198
11 × 18 × 1 = 198
11 × 9 × 2 = 198
11 × 6 × 3 = 198
11 × 3 × 6 = 198
11 × 2 × 9 = 198
11 × 1 × 18 = 198
9 × 22 × 1 = 198
9 × 11 × 2 = 198
9 × 2 × 11 = 198
9 × 1 × 22 = 198
6 × 33 × 1 = 198
6 × 11 × 3 = 198
6 × 3 × 11 = 198
6 × 1 × 33 = 198
3 × 66 × 1 = 198
3 × 33 × 2 = 198
3 × 22 × 3 = 198
3 × 11 × 6 = 198
3 × 6 × 11 = 198
3 × 3 × 22 = 198
3 × 2 × 33 = 198
3 × 1 × 66 = 198
2 × 99 × 1 = 198
2 × 33 × 3 = 198
2 × 11 × 9 = 198
2 × 9 × 11 = 198
2 × 3 × 33 = 198
2 × 1 × 99 = 198
1 × 198 × 1 = 198
1 × 99 × 2 = 198
1 × 66 × 3 = 198
1 × 33 × 6 = 198
1 × 22 × 9 = 198
1 × 18 × 11 = 198
1 × 11 × 18 = 198
1 × 9 × 22 = 198
1 × 6 × 33 = 198
1 × 3 × 66 = 198
1 × 2 × 99 = 198
1 × 1 × 198 = 198

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What three numbers multiply to get 199?
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