Q: What are the prime factors of the number 15,207,672?

 A: 2, 3, 633653

Why are those the prime factors of the number 15,207,672?

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 15,207,672

15,207,672
Factor Arrows
27,603,836
Factor Arrows
23,801,918
Factor Arrows
21,900,959
Factor Arrows
3633,653

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, 3, 633653

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 633,653 = 15,207,672

This can also be written as 23 x 31 x 633,6531 = 15,207,672

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


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