Q: What are the prime factors of the number 36,868,909?

 A: 7, 11, 37, 12941

Why are those the prime factors of the number 36,868,909?

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 36,868,909

36,868,909
Factor Arrows
75,266,987
Factor Arrows
11478,817
Factor Arrows
3712,941

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, 37, 12941

We can check our work by multiplying all of the prime factors together: 7 x 11 x 37 x 12,941 = 36,868,909

This can also be written as 71 x 111 x 371 x 12,9411 = 36,868,909

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


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