Q: What are the prime factors of the number 37,716,547?

 A: 11, 43, 659

Why are those the prime factors of the number 37,716,547?

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 37,716,547

37,716,547
Factor Arrows
113,428,777
Factor Arrows
11311,707
Factor Arrows
1128,337
Factor Arrows
43659

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:

11, 43, 659

We can check our work by multiplying all of the prime factors together: 11 x 11 x 11 x 43 x 659 = 37,716,547

This can also be written as 113 x 431 x 6591 = 37,716,547

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


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