What three numbers multiply to get 253?

What three numbers multiply to get 253? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 253. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 253

First, note that all numbers must be 253 or less, which means that there are 253 × 253 × 253 possible solutions. Thus, to get the answer to "What three numbers multiply to get 253?" we looked at 16,194,277 different combinations to see which ones equal 253.

When we looked at all those combinations, we found 9 different combinations of 3 numbers that equal 253 when multiplied together. Here are all 3 number combinations that you can multiply to get 253:

253 × 1 × 1 = 253
23 × 11 × 1 = 253
23 × 1 × 11 = 253
11 × 23 × 1 = 253
11 × 1 × 23 = 253
1 × 253 × 1 = 253
1 × 23 × 11 = 253
1 × 11 × 23 = 253
1 × 1 × 253 = 253

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What three numbers multiply to get 254?
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