Q: What are the prime factors of the number 20,694,080?

 A: 2, 5, 11, 5879

Why are those the prime factors of the number 20,694,080?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 20,694,080

20,694,080
Factor Arrows
210,347,040
Factor Arrows
25,173,520
Factor Arrows
22,586,760
Factor Arrows
21,293,380
Factor Arrows
2646,690
Factor Arrows
2323,345
Factor Arrows
564,669
Factor Arrows
115,879

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 11, 5879

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 5,879 = 20,694,080

This can also be written as 26 x 51 x 111 x 5,8791 = 20,694,080

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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