What three numbers multiply to get 352?

What three numbers multiply to get 352? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 352. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 352

First, note that all numbers must be 352 or less, which means that there are 352 × 352 × 352 possible solutions. Thus, to get the answer to "What three numbers multiply to get 352?" we looked at 43,614,208 different combinations to see which ones equal 352.

When we looked at all those combinations, we found 63 different combinations of 3 numbers that equal 352 when multiplied together. Here are all 3 number combinations that you can multiply to get 352:

352 × 1 × 1 = 352
176 × 2 × 1 = 352
176 × 1 × 2 = 352
88 × 4 × 1 = 352
88 × 2 × 2 = 352
88 × 1 × 4 = 352
44 × 8 × 1 = 352
44 × 4 × 2 = 352
44 × 2 × 4 = 352
44 × 1 × 8 = 352
32 × 11 × 1 = 352
32 × 1 × 11 = 352
22 × 16 × 1 = 352
22 × 8 × 2 = 352
22 × 4 × 4 = 352
22 × 2 × 8 = 352
22 × 1 × 16 = 352
16 × 22 × 1 = 352
16 × 11 × 2 = 352
16 × 2 × 11 = 352
16 × 1 × 22 = 352
11 × 32 × 1 = 352
11 × 16 × 2 = 352
11 × 8 × 4 = 352
11 × 4 × 8 = 352
11 × 2 × 16 = 352
11 × 1 × 32 = 352
8 × 44 × 1 = 352
8 × 22 × 2 = 352
8 × 11 × 4 = 352
8 × 4 × 11 = 352
8 × 2 × 22 = 352
8 × 1 × 44 = 352
4 × 88 × 1 = 352
4 × 44 × 2 = 352
4 × 22 × 4 = 352
4 × 11 × 8 = 352
4 × 8 × 11 = 352
4 × 4 × 22 = 352
4 × 2 × 44 = 352
4 × 1 × 88 = 352
2 × 176 × 1 = 352
2 × 88 × 2 = 352
2 × 44 × 4 = 352
2 × 22 × 8 = 352
2 × 16 × 11 = 352
2 × 11 × 16 = 352
2 × 8 × 22 = 352
2 × 4 × 44 = 352
2 × 2 × 88 = 352
2 × 1 × 176 = 352
1 × 352 × 1 = 352
1 × 176 × 2 = 352
1 × 88 × 4 = 352
1 × 44 × 8 = 352
1 × 32 × 11 = 352
1 × 22 × 16 = 352
1 × 16 × 22 = 352
1 × 11 × 32 = 352
1 × 8 × 44 = 352
1 × 4 × 88 = 352
1 × 2 × 176 = 352
1 × 1 × 352 = 352

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What three numbers multiply to get 353?
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