What three numbers multiply to get 660?

What three numbers multiply to get 660? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 660. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 660

First, note that all numbers must be 660 or less, which means that there are 660 × 660 × 660 possible solutions. Thus, to get the answer to "What three numbers multiply to get 660?" we looked at 287,496,000 different combinations to see which ones equal 660.

When we looked at all those combinations, we found 162 different combinations of 3 numbers that equal 660 when multiplied together. Here are all 3 number combinations that you can multiply to get 660:

660 × 1 × 1 = 660
330 × 2 × 1 = 660
330 × 1 × 2 = 660
220 × 3 × 1 = 660
220 × 1 × 3 = 660
165 × 4 × 1 = 660
165 × 2 × 2 = 660
165 × 1 × 4 = 660
132 × 5 × 1 = 660
132 × 1 × 5 = 660
110 × 6 × 1 = 660
110 × 3 × 2 = 660
110 × 2 × 3 = 660
110 × 1 × 6 = 660
66 × 10 × 1 = 660
66 × 5 × 2 = 660
66 × 2 × 5 = 660
66 × 1 × 10 = 660
60 × 11 × 1 = 660
60 × 1 × 11 = 660
55 × 12 × 1 = 660
55 × 6 × 2 = 660
55 × 4 × 3 = 660
55 × 3 × 4 = 660
55 × 2 × 6 = 660
55 × 1 × 12 = 660
44 × 15 × 1 = 660
44 × 5 × 3 = 660
44 × 3 × 5 = 660
44 × 1 × 15 = 660
33 × 20 × 1 = 660
33 × 10 × 2 = 660
33 × 5 × 4 = 660
33 × 4 × 5 = 660
33 × 2 × 10 = 660
33 × 1 × 20 = 660
30 × 22 × 1 = 660
30 × 11 × 2 = 660
30 × 2 × 11 = 660
30 × 1 × 22 = 660
22 × 30 × 1 = 660
22 × 15 × 2 = 660
22 × 10 × 3 = 660
22 × 6 × 5 = 660
22 × 5 × 6 = 660
22 × 3 × 10 = 660
22 × 2 × 15 = 660
22 × 1 × 30 = 660
20 × 33 × 1 = 660
20 × 11 × 3 = 660
20 × 3 × 11 = 660
20 × 1 × 33 = 660
15 × 44 × 1 = 660
15 × 22 × 2 = 660
15 × 11 × 4 = 660
15 × 4 × 11 = 660
15 × 2 × 22 = 660
15 × 1 × 44 = 660
12 × 55 × 1 = 660
12 × 11 × 5 = 660
12 × 5 × 11 = 660
12 × 1 × 55 = 660
11 × 60 × 1 = 660
11 × 30 × 2 = 660
11 × 20 × 3 = 660
11 × 15 × 4 = 660
11 × 12 × 5 = 660
11 × 10 × 6 = 660
11 × 6 × 10 = 660
11 × 5 × 12 = 660
11 × 4 × 15 = 660
11 × 3 × 20 = 660
11 × 2 × 30 = 660
11 × 1 × 60 = 660
10 × 66 × 1 = 660
10 × 33 × 2 = 660
10 × 22 × 3 = 660
10 × 11 × 6 = 660
10 × 6 × 11 = 660
10 × 3 × 22 = 660
10 × 2 × 33 = 660
10 × 1 × 66 = 660
6 × 110 × 1 = 660
6 × 55 × 2 = 660
6 × 22 × 5 = 660
6 × 11 × 10 = 660
6 × 10 × 11 = 660
6 × 5 × 22 = 660
6 × 2 × 55 = 660
6 × 1 × 110 = 660
5 × 132 × 1 = 660
5 × 66 × 2 = 660
5 × 44 × 3 = 660
5 × 33 × 4 = 660
5 × 22 × 6 = 660
5 × 12 × 11 = 660
5 × 11 × 12 = 660
5 × 6 × 22 = 660
5 × 4 × 33 = 660
5 × 3 × 44 = 660
5 × 2 × 66 = 660
5 × 1 × 132 = 660
4 × 165 × 1 = 660
4 × 55 × 3 = 660
4 × 33 × 5 = 660
4 × 15 × 11 = 660
4 × 11 × 15 = 660
4 × 5 × 33 = 660
4 × 3 × 55 = 660
4 × 1 × 165 = 660
3 × 220 × 1 = 660
3 × 110 × 2 = 660
3 × 55 × 4 = 660
3 × 44 × 5 = 660
3 × 22 × 10 = 660
3 × 20 × 11 = 660
3 × 11 × 20 = 660
3 × 10 × 22 = 660
3 × 5 × 44 = 660
3 × 4 × 55 = 660
3 × 2 × 110 = 660
3 × 1 × 220 = 660
2 × 330 × 1 = 660
2 × 165 × 2 = 660
2 × 110 × 3 = 660
2 × 66 × 5 = 660
2 × 55 × 6 = 660
2 × 33 × 10 = 660
2 × 30 × 11 = 660
2 × 22 × 15 = 660
2 × 15 × 22 = 660
2 × 11 × 30 = 660
2 × 10 × 33 = 660
2 × 6 × 55 = 660
2 × 5 × 66 = 660
2 × 3 × 110 = 660
2 × 2 × 165 = 660
2 × 1 × 330 = 660
1 × 660 × 1 = 660
1 × 330 × 2 = 660
1 × 220 × 3 = 660
1 × 165 × 4 = 660
1 × 132 × 5 = 660
1 × 110 × 6 = 660
1 × 66 × 10 = 660
1 × 60 × 11 = 660
1 × 55 × 12 = 660
1 × 44 × 15 = 660
1 × 33 × 20 = 660
1 × 30 × 22 = 660
1 × 22 × 30 = 660
1 × 20 × 33 = 660
1 × 15 × 44 = 660
1 × 12 × 55 = 660
1 × 11 × 60 = 660
1 × 10 × 66 = 660
1 × 6 × 110 = 660
1 × 5 × 132 = 660
1 × 4 × 165 = 660
1 × 3 × 220 = 660
1 × 2 × 330 = 660
1 × 1 × 660 = 660

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What three numbers multiply to get 661?
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