Q: What are the prime factors of the number 113,334,532?

 A: 2, 157, 251, 719

Why are those the prime factors of the number 113,334,532?

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 113,334,532

113,334,532
Factor Arrows
256,667,266
Factor Arrows
228,333,633
Factor Arrows
157180,469
Factor Arrows
251719

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, 157, 251, 719

We can check our work by multiplying all of the prime factors together: 2 x 2 x 157 x 251 x 719 = 113,334,532

This can also be written as 22 x 1571 x 2511 x 7191 = 113,334,532

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


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