What three numbers multiply to get 68?

What three numbers multiply to get 68? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 68. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 68

First, note that all numbers must be 68 or less, which means that there are 68 × 68 × 68 possible solutions. Thus, to get the answer to "What three numbers multiply to get 68?" we looked at 314,432 different combinations to see which ones equal 68.

When we looked at all those combinations, we found 18 different combinations of 3 numbers that equal 68 when multiplied together. Here are all 3 number combinations that you can multiply to get 68:

68 × 1 × 1 = 68
34 × 2 × 1 = 68
34 × 1 × 2 = 68
17 × 4 × 1 = 68
17 × 2 × 2 = 68
17 × 1 × 4 = 68
4 × 17 × 1 = 68
4 × 1 × 17 = 68
2 × 34 × 1 = 68
2 × 17 × 2 = 68
2 × 2 × 17 = 68
2 × 1 × 34 = 68
1 × 68 × 1 = 68
1 × 34 × 2 = 68
1 × 17 × 4 = 68
1 × 4 × 17 = 68
1 × 2 × 34 = 68
1 × 1 × 68 = 68

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What three numbers multiply to get 69?
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