Q: What are the prime factors of the number 113,559,390?

 A: 2, 3, 5, 7, 19, 53, 179

Why are those the prime factors of the number 113,559,390?

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 113,559,390

113,559,390
Factor Arrows
256,779,695
Factor Arrows
318,926,565
Factor Arrows
36,308,855
Factor Arrows
51,261,771
Factor Arrows
7180,253
Factor Arrows
199,487
Factor Arrows
53179

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, 5, 7, 19, 53, 179

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 7 x 19 x 53 x 179 = 113,559,390

This can also be written as 21 x 32 x 51 x 71 x 191 x 531 x 1791 = 113,559,390

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


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