What three numbers multiply to get 242?

What three numbers multiply to get 242? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 242. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 242

First, note that all numbers must be 242 or less, which means that there are 242 × 242 × 242 possible solutions. Thus, to get the answer to "What three numbers multiply to get 242?" we looked at 14,172,488 different combinations to see which ones equal 242.

When we looked at all those combinations, we found 18 different combinations of 3 numbers that equal 242 when multiplied together. Here are all 3 number combinations that you can multiply to get 242:

242 × 1 × 1 = 242
121 × 2 × 1 = 242
121 × 1 × 2 = 242
22 × 11 × 1 = 242
22 × 1 × 11 = 242
11 × 22 × 1 = 242
11 × 11 × 2 = 242
11 × 2 × 11 = 242
11 × 1 × 22 = 242
2 × 121 × 1 = 242
2 × 11 × 11 = 242
2 × 1 × 121 = 242
1 × 242 × 1 = 242
1 × 121 × 2 = 242
1 × 22 × 11 = 242
1 × 11 × 22 = 242
1 × 2 × 121 = 242
1 × 1 × 242 = 242

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What three numbers multiply to get 243?
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