What three numbers multiply to get 220?

What three numbers multiply to get 220? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 220. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 220

First, note that all numbers must be 220 or less, which means that there are 220 × 220 × 220 possible solutions. Thus, to get the answer to "What three numbers multiply to get 220?" we looked at 10,648,000 different combinations to see which ones equal 220.

When we looked at all those combinations, we found 54 different combinations of 3 numbers that equal 220 when multiplied together. Here are all 3 number combinations that you can multiply to get 220:

220 × 1 × 1 = 220
110 × 2 × 1 = 220
110 × 1 × 2 = 220
55 × 4 × 1 = 220
55 × 2 × 2 = 220
55 × 1 × 4 = 220
44 × 5 × 1 = 220
44 × 1 × 5 = 220
22 × 10 × 1 = 220
22 × 5 × 2 = 220
22 × 2 × 5 = 220
22 × 1 × 10 = 220
20 × 11 × 1 = 220
20 × 1 × 11 = 220
11 × 20 × 1 = 220
11 × 10 × 2 = 220
11 × 5 × 4 = 220
11 × 4 × 5 = 220
11 × 2 × 10 = 220
11 × 1 × 20 = 220
10 × 22 × 1 = 220
10 × 11 × 2 = 220
10 × 2 × 11 = 220
10 × 1 × 22 = 220
5 × 44 × 1 = 220
5 × 22 × 2 = 220
5 × 11 × 4 = 220
5 × 4 × 11 = 220
5 × 2 × 22 = 220
5 × 1 × 44 = 220
4 × 55 × 1 = 220
4 × 11 × 5 = 220
4 × 5 × 11 = 220
4 × 1 × 55 = 220
2 × 110 × 1 = 220
2 × 55 × 2 = 220
2 × 22 × 5 = 220
2 × 11 × 10 = 220
2 × 10 × 11 = 220
2 × 5 × 22 = 220
2 × 2 × 55 = 220
2 × 1 × 110 = 220
1 × 220 × 1 = 220
1 × 110 × 2 = 220
1 × 55 × 4 = 220
1 × 44 × 5 = 220
1 × 22 × 10 = 220
1 × 20 × 11 = 220
1 × 11 × 20 = 220
1 × 10 × 22 = 220
1 × 5 × 44 = 220
1 × 4 × 55 = 220
1 × 2 × 110 = 220
1 × 1 × 220 = 220

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What three numbers multiply to get 221?
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