Q: What are the prime factors of the number 37,315,663?

 A: 7, 11, 17, 29, 983

Why are those the prime factors of the number 37,315,663?

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 37,315,663

37,315,663
Factor Arrows
75,330,809
Factor Arrows
11484,619
Factor Arrows
1728,507
Factor Arrows
29983

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:

7, 11, 17, 29, 983

We can check our work by multiplying all of the prime factors together: 7 x 11 x 17 x 29 x 983 = 37,315,663

This can also be written as 71 x 111 x 171 x 291 x 9831 = 37,315,663

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


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