Q: What are the prime factors of the number 20,272,192?

 A: 2, 316753

Why are those the prime factors of the number 20,272,192?

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 20,272,192

20,272,192
Factor Arrows
210,136,096
Factor Arrows
25,068,048
Factor Arrows
22,534,024
Factor Arrows
21,267,012
Factor Arrows
2633,506
Factor Arrows
2316,753

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, 316753

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 316,753 = 20,272,192

This can also be written as 26 x 316,7531 = 20,272,192

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


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