What three numbers multiply to get 420?




What three numbers multiply to get 420? In other words, you want to know all the combinations of 3 numbers that can be multiplied to get 420. You want to know what all the question marks in the equation below can be in order for the equation to be true:

? × ? × ? = 420

First, note that all numbers must be 420 or less, which means that there are 420 × 420 × 420 possible solutions. Thus, to get the answer to "What three numbers multiply to get 420?" we looked at 74,088,000 different combinations to see which ones equal 420.


When we looked at all those combinations, we found 162 different combinations of 3 numbers that equal 420 when multiplied together. Here are all 3 number combinations that you can multiply to get 420:

420 × 1 × 1 = 420
210 × 2 × 1 = 420
210 × 1 × 2 = 420
140 × 3 × 1 = 420
140 × 1 × 3 = 420
105 × 4 × 1 = 420
105 × 2 × 2 = 420
105 × 1 × 4 = 420
84 × 5 × 1 = 420
84 × 1 × 5 = 420
70 × 6 × 1 = 420
70 × 3 × 2 = 420
70 × 2 × 3 = 420
70 × 1 × 6 = 420
60 × 7 × 1 = 420
60 × 1 × 7 = 420
42 × 10 × 1 = 420
42 × 5 × 2 = 420
42 × 2 × 5 = 420
42 × 1 × 10 = 420
35 × 12 × 1 = 420
35 × 6 × 2 = 420
35 × 4 × 3 = 420
35 × 3 × 4 = 420
35 × 2 × 6 = 420
35 × 1 × 12 = 420
30 × 14 × 1 = 420
30 × 7 × 2 = 420
30 × 2 × 7 = 420
30 × 1 × 14 = 420
28 × 15 × 1 = 420
28 × 5 × 3 = 420
28 × 3 × 5 = 420
28 × 1 × 15 = 420
21 × 20 × 1 = 420
21 × 10 × 2 = 420
21 × 5 × 4 = 420
21 × 4 × 5 = 420
21 × 2 × 10 = 420
21 × 1 × 20 = 420
20 × 21 × 1 = 420
20 × 7 × 3 = 420
20 × 3 × 7 = 420
20 × 1 × 21 = 420
15 × 28 × 1 = 420
15 × 14 × 2 = 420
15 × 7 × 4 = 420
15 × 4 × 7 = 420
15 × 2 × 14 = 420
15 × 1 × 28 = 420
14 × 30 × 1 = 420
14 × 15 × 2 = 420
14 × 10 × 3 = 420
14 × 6 × 5 = 420
14 × 5 × 6 = 420
14 × 3 × 10 = 420
14 × 2 × 15 = 420
14 × 1 × 30 = 420
12 × 35 × 1 = 420
12 × 7 × 5 = 420
12 × 5 × 7 = 420
12 × 1 × 35 = 420
10 × 42 × 1 = 420
10 × 21 × 2 = 420
10 × 14 × 3 = 420
10 × 7 × 6 = 420
10 × 6 × 7 = 420
10 × 3 × 14 = 420
10 × 2 × 21 = 420
10 × 1 × 42 = 420
7 × 60 × 1 = 420
7 × 30 × 2 = 420
7 × 20 × 3 = 420
7 × 15 × 4 = 420
7 × 12 × 5 = 420
7 × 10 × 6 = 420
7 × 6 × 10 = 420
7 × 5 × 12 = 420
7 × 4 × 15 = 420
7 × 3 × 20 = 420
7 × 2 × 30 = 420
7 × 1 × 60 = 420
6 × 70 × 1 = 420
6 × 35 × 2 = 420
6 × 14 × 5 = 420
6 × 10 × 7 = 420
6 × 7 × 10 = 420
6 × 5 × 14 = 420
6 × 2 × 35 = 420
6 × 1 × 70 = 420
5 × 84 × 1 = 420
5 × 42 × 2 = 420
5 × 28 × 3 = 420
5 × 21 × 4 = 420
5 × 14 × 6 = 420
5 × 12 × 7 = 420
5 × 7 × 12 = 420
5 × 6 × 14 = 420
5 × 4 × 21 = 420
5 × 3 × 28 = 420
5 × 2 × 42 = 420
5 × 1 × 84 = 420
4 × 105 × 1 = 420
4 × 35 × 3 = 420
4 × 21 × 5 = 420
4 × 15 × 7 = 420
4 × 7 × 15 = 420
4 × 5 × 21 = 420
4 × 3 × 35 = 420
4 × 1 × 105 = 420
3 × 140 × 1 = 420
3 × 70 × 2 = 420
3 × 35 × 4 = 420
3 × 28 × 5 = 420
3 × 20 × 7 = 420
3 × 14 × 10 = 420
3 × 10 × 14 = 420
3 × 7 × 20 = 420
3 × 5 × 28 = 420
3 × 4 × 35 = 420
3 × 2 × 70 = 420
3 × 1 × 140 = 420
2 × 210 × 1 = 420
2 × 105 × 2 = 420
2 × 70 × 3 = 420
2 × 42 × 5 = 420
2 × 35 × 6 = 420
2 × 30 × 7 = 420
2 × 21 × 10 = 420
2 × 15 × 14 = 420
2 × 14 × 15 = 420
2 × 10 × 21 = 420
2 × 7 × 30 = 420
2 × 6 × 35 = 420
2 × 5 × 42 = 420
2 × 3 × 70 = 420
2 × 2 × 105 = 420
2 × 1 × 210 = 420
1 × 420 × 1 = 420
1 × 210 × 2 = 420
1 × 140 × 3 = 420
1 × 105 × 4 = 420
1 × 84 × 5 = 420
1 × 70 × 6 = 420
1 × 60 × 7 = 420
1 × 42 × 10 = 420
1 × 35 × 12 = 420
1 × 30 × 14 = 420
1 × 28 × 15 = 420
1 × 21 × 20 = 420
1 × 20 × 21 = 420
1 × 15 × 28 = 420
1 × 14 × 30 = 420
1 × 12 × 35 = 420
1 × 10 × 42 = 420
1 × 7 × 60 = 420
1 × 6 × 70 = 420
1 × 5 × 84 = 420
1 × 4 × 105 = 420
1 × 3 × 140 = 420
1 × 2 × 210 = 420
1 × 1 × 420 = 420


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What three numbers multiply to get 421?
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