What three numbers multiply to get 407?

What three numbers multiply to get 407? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 407. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 407

First, note that all numbers must be 407 or less, which means that there are 407 × 407 × 407 possible solutions. Thus, to get the answer to "What three numbers multiply to get 407?" we looked at 67,419,143 different combinations to see which ones equal 407.

When we looked at all those combinations, we found 9 different combinations of 3 numbers that equal 407 when multiplied together. Here are all 3 number combinations that you can multiply to get 407:

407 × 1 × 1 = 407
37 × 11 × 1 = 407
37 × 1 × 11 = 407
11 × 37 × 1 = 407
11 × 1 × 37 = 407
1 × 407 × 1 = 407
1 × 37 × 11 = 407
1 × 11 × 37 = 407
1 × 1 × 407 = 407

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What three numbers multiply to get 408?
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