What three numbers multiply to get 252?




What three numbers multiply to get 252? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 252. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 252

First, note that all numbers must be 252 or less, which means that there are 252 × 252 × 252 possible solutions. Thus, to get the answer to "What three numbers multiply to get 252?" we looked at 16,003,008 different combinations to see which ones equal 252.


When we looked at all those combinations, we found 108 different combinations of 3 numbers that equal 252 when multiplied together. Here are all 3 number combinations that you can multiply to get 252:

252 × 1 × 1 = 252
126 × 2 × 1 = 252
126 × 1 × 2 = 252
84 × 3 × 1 = 252
84 × 1 × 3 = 252
63 × 4 × 1 = 252
63 × 2 × 2 = 252
63 × 1 × 4 = 252
42 × 6 × 1 = 252
42 × 3 × 2 = 252
42 × 2 × 3 = 252
42 × 1 × 6 = 252
36 × 7 × 1 = 252
36 × 1 × 7 = 252
28 × 9 × 1 = 252
28 × 3 × 3 = 252
28 × 1 × 9 = 252
21 × 12 × 1 = 252
21 × 6 × 2 = 252
21 × 4 × 3 = 252
21 × 3 × 4 = 252
21 × 2 × 6 = 252
21 × 1 × 12 = 252
18 × 14 × 1 = 252
18 × 7 × 2 = 252
18 × 2 × 7 = 252
18 × 1 × 14 = 252
14 × 18 × 1 = 252
14 × 9 × 2 = 252
14 × 6 × 3 = 252
14 × 3 × 6 = 252
14 × 2 × 9 = 252
14 × 1 × 18 = 252
12 × 21 × 1 = 252
12 × 7 × 3 = 252
12 × 3 × 7 = 252
12 × 1 × 21 = 252
9 × 28 × 1 = 252
9 × 14 × 2 = 252
9 × 7 × 4 = 252
9 × 4 × 7 = 252
9 × 2 × 14 = 252
9 × 1 × 28 = 252
7 × 36 × 1 = 252
7 × 18 × 2 = 252
7 × 12 × 3 = 252
7 × 9 × 4 = 252
7 × 6 × 6 = 252
7 × 4 × 9 = 252
7 × 3 × 12 = 252
7 × 2 × 18 = 252
7 × 1 × 36 = 252
6 × 42 × 1 = 252
6 × 21 × 2 = 252
6 × 14 × 3 = 252
6 × 7 × 6 = 252
6 × 6 × 7 = 252
6 × 3 × 14 = 252
6 × 2 × 21 = 252
6 × 1 × 42 = 252
4 × 63 × 1 = 252
4 × 21 × 3 = 252
4 × 9 × 7 = 252
4 × 7 × 9 = 252
4 × 3 × 21 = 252
4 × 1 × 63 = 252
3 × 84 × 1 = 252
3 × 42 × 2 = 252
3 × 28 × 3 = 252
3 × 21 × 4 = 252
3 × 14 × 6 = 252
3 × 12 × 7 = 252
3 × 7 × 12 = 252
3 × 6 × 14 = 252
3 × 4 × 21 = 252
3 × 3 × 28 = 252
3 × 2 × 42 = 252
3 × 1 × 84 = 252
2 × 126 × 1 = 252
2 × 63 × 2 = 252
2 × 42 × 3 = 252
2 × 21 × 6 = 252
2 × 18 × 7 = 252
2 × 14 × 9 = 252
2 × 9 × 14 = 252
2 × 7 × 18 = 252
2 × 6 × 21 = 252
2 × 3 × 42 = 252
2 × 2 × 63 = 252
2 × 1 × 126 = 252
1 × 252 × 1 = 252
1 × 126 × 2 = 252
1 × 84 × 3 = 252
1 × 63 × 4 = 252
1 × 42 × 6 = 252
1 × 36 × 7 = 252
1 × 28 × 9 = 252
1 × 21 × 12 = 252
1 × 18 × 14 = 252
1 × 14 × 18 = 252
1 × 12 × 21 = 252
1 × 9 × 28 = 252
1 × 7 × 36 = 252
1 × 6 × 42 = 252
1 × 4 × 63 = 252
1 × 3 × 84 = 252
1 × 2 × 126 = 252
1 × 1 × 252 = 252


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What three numbers multiply to get 253?
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