What three numbers multiply to get 343?

What three numbers multiply to get 343? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 343. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 343

First, note that all numbers must be 343 or less, which means that there are 343 × 343 × 343 possible solutions. Thus, to get the answer to "What three numbers multiply to get 343?" we looked at 40,353,607 different combinations to see which ones equal 343.

When we looked at all those combinations, we found 10 different combinations of 3 numbers that equal 343 when multiplied together. Here are all 3 number combinations that you can multiply to get 343:

343 × 1 × 1 = 343
49 × 7 × 1 = 343
49 × 1 × 7 = 343
7 × 49 × 1 = 343
7 × 7 × 7 = 343
7 × 1 × 49 = 343
1 × 343 × 1 = 343
1 × 49 × 7 = 343
1 × 7 × 49 = 343
1 × 1 × 343 = 343

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What three numbers multiply to get 344?
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