What three numbers multiply to get 340?

What three numbers multiply to get 340? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 340. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 340

First, note that all numbers must be 340 or less, which means that there are 340 × 340 × 340 possible solutions. Thus, to get the answer to "What three numbers multiply to get 340?" we looked at 39,304,000 different combinations to see which ones equal 340.

When we looked at all those combinations, we found 54 different combinations of 3 numbers that equal 340 when multiplied together. Here are all 3 number combinations that you can multiply to get 340:

340 × 1 × 1 = 340
170 × 2 × 1 = 340
170 × 1 × 2 = 340
85 × 4 × 1 = 340
85 × 2 × 2 = 340
85 × 1 × 4 = 340
68 × 5 × 1 = 340
68 × 1 × 5 = 340
34 × 10 × 1 = 340
34 × 5 × 2 = 340
34 × 2 × 5 = 340
34 × 1 × 10 = 340
20 × 17 × 1 = 340
20 × 1 × 17 = 340
17 × 20 × 1 = 340
17 × 10 × 2 = 340
17 × 5 × 4 = 340
17 × 4 × 5 = 340
17 × 2 × 10 = 340
17 × 1 × 20 = 340
10 × 34 × 1 = 340
10 × 17 × 2 = 340
10 × 2 × 17 = 340
10 × 1 × 34 = 340
5 × 68 × 1 = 340
5 × 34 × 2 = 340
5 × 17 × 4 = 340
5 × 4 × 17 = 340
5 × 2 × 34 = 340
5 × 1 × 68 = 340
4 × 85 × 1 = 340
4 × 17 × 5 = 340
4 × 5 × 17 = 340
4 × 1 × 85 = 340
2 × 170 × 1 = 340
2 × 85 × 2 = 340
2 × 34 × 5 = 340
2 × 17 × 10 = 340
2 × 10 × 17 = 340
2 × 5 × 34 = 340
2 × 2 × 85 = 340
2 × 1 × 170 = 340
1 × 340 × 1 = 340
1 × 170 × 2 = 340
1 × 85 × 4 = 340
1 × 68 × 5 = 340
1 × 34 × 10 = 340
1 × 20 × 17 = 340
1 × 17 × 20 = 340
1 × 10 × 34 = 340
1 × 5 × 68 = 340
1 × 4 × 85 = 340
1 × 2 × 170 = 340
1 × 1 × 340 = 340

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What three numbers multiply to get 341?
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