What three numbers multiply to get 101?

What three numbers multiply to get 101? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 101. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 101

First, note that all numbers must be 101 or less, which means that there are 101 × 101 × 101 possible solutions. Thus, to get the answer to "What three numbers multiply to get 101?" we looked at 1,030,301 different combinations to see which ones equal 101.

When we looked at all those combinations, we found 3 different combinations of 3 numbers that equal 101 when multiplied together. Here are all 3 number combinations that you can multiply to get 101:

101 × 1 × 1 = 101
1 × 101 × 1 = 101
1 × 1 × 101 = 101

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What three numbers multiply to get 102?
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