Q: What are the prime factors of the number 107,660,316?

 A: 2, 3, 8971693

Why are those the prime factors of the number 107,660,316?

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 107,660,316

107,660,316
Factor Arrows
253,830,158
Factor Arrows
226,915,079
Factor Arrows
38,971,693

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, 8971693

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 8,971,693 = 107,660,316

This can also be written as 22 x 31 x 8,971,6931 = 107,660,316

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


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