Q: What are the prime factors of the number 113,313,400?

 A: 2, 5, 566567

Why are those the prime factors of the number 113,313,400?

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 113,313,400

113,313,400
Factor Arrows
256,656,700
Factor Arrows
228,328,350
Factor Arrows
214,164,175
Factor Arrows
52,832,835
Factor Arrows
5566,567

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, 5, 566567

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 566,567 = 113,313,400

This can also be written as 23 x 52 x 566,5671 = 113,313,400

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


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