What three numbers multiply to get 477?

What three numbers multiply to get 477? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 477. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 477

First, note that all numbers must be 477 or less, which means that there are 477 × 477 × 477 possible solutions. Thus, to get the answer to "What three numbers multiply to get 477?" we looked at 108,531,333 different combinations to see which ones equal 477.

When we looked at all those combinations, we found 18 different combinations of 3 numbers that equal 477 when multiplied together. Here are all 3 number combinations that you can multiply to get 477:

477 × 1 × 1 = 477
159 × 3 × 1 = 477
159 × 1 × 3 = 477
53 × 9 × 1 = 477
53 × 3 × 3 = 477
53 × 1 × 9 = 477
9 × 53 × 1 = 477
9 × 1 × 53 = 477
3 × 159 × 1 = 477
3 × 53 × 3 = 477
3 × 3 × 53 = 477
3 × 1 × 159 = 477
1 × 477 × 1 = 477
1 × 159 × 3 = 477
1 × 53 × 9 = 477
1 × 9 × 53 = 477
1 × 3 × 159 = 477
1 × 1 × 477 = 477

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What three numbers multiply to get 478?
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