Q: What are the prime factors of the number 113,559,388?

 A: 2, 17, 43, 71, 547

Why are those the prime factors of the number 113,559,388?

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 113,559,388

113,559,388
Factor Arrows
256,779,694
Factor Arrows
228,389,847
Factor Arrows
171,669,991
Factor Arrows
4338,837
Factor Arrows
71547

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, 17, 43, 71, 547

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 43 x 71 x 547 = 113,559,388

This can also be written as 22 x 171 x 431 x 711 x 5471 = 113,559,388

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


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