What three numbers multiply to get 428?

What three numbers multiply to get 428? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 428. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 428

First, note that all numbers must be 428 or less, which means that there are 428 × 428 × 428 possible solutions. Thus, to get the answer to "What three numbers multiply to get 428?" we looked at 78,402,752 different combinations to see which ones equal 428.

When we looked at all those combinations, we found 18 different combinations of 3 numbers that equal 428 when multiplied together. Here are all 3 number combinations that you can multiply to get 428:

428 × 1 × 1 = 428
214 × 2 × 1 = 428
214 × 1 × 2 = 428
107 × 4 × 1 = 428
107 × 2 × 2 = 428
107 × 1 × 4 = 428
4 × 107 × 1 = 428
4 × 1 × 107 = 428
2 × 214 × 1 = 428
2 × 107 × 2 = 428
2 × 2 × 107 = 428
2 × 1 × 214 = 428
1 × 428 × 1 = 428
1 × 214 × 2 = 428
1 × 107 × 4 = 428
1 × 4 × 107 = 428
1 × 2 × 214 = 428
1 × 1 × 428 = 428

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What three numbers multiply to get 429?
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