Q: What are the prime factors of the number 113,253,304?

 A: 2, 269, 52627

Why are those the prime factors of the number 113,253,304?

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 113,253,304

113,253,304
Factor Arrows
256,626,652
Factor Arrows
228,313,326
Factor Arrows
214,156,663
Factor Arrows
26952,627

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, 269, 52627

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 269 x 52,627 = 113,253,304

This can also be written as 23 x 2691 x 52,6271 = 113,253,304

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


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