What three numbers multiply to get 212?

What three numbers multiply to get 212? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 212. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 212

First, note that all numbers must be 212 or less, which means that there are 212 × 212 × 212 possible solutions. Thus, to get the answer to "What three numbers multiply to get 212?" we looked at 9,528,128 different combinations to see which ones equal 212.

When we looked at all those combinations, we found 18 different combinations of 3 numbers that equal 212 when multiplied together. Here are all 3 number combinations that you can multiply to get 212:

212 × 1 × 1 = 212
106 × 2 × 1 = 212
106 × 1 × 2 = 212
53 × 4 × 1 = 212
53 × 2 × 2 = 212
53 × 1 × 4 = 212
4 × 53 × 1 = 212
4 × 1 × 53 = 212
2 × 106 × 1 = 212
2 × 53 × 2 = 212
2 × 2 × 53 = 212
2 × 1 × 106 = 212
1 × 212 × 1 = 212
1 × 106 × 2 = 212
1 × 53 × 4 = 212
1 × 4 × 53 = 212
1 × 2 × 106 = 212
1 × 1 × 212 = 212

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What three numbers multiply to get 213?
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