Q: What are the prime factors of the number 113,746,720?

 A: 2, 5, 710917

Why are those the prime factors of the number 113,746,720?

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 113,746,720

113,746,720
Factor Arrows
256,873,360
Factor Arrows
228,436,680
Factor Arrows
214,218,340
Factor Arrows
27,109,170
Factor Arrows
23,554,585
Factor Arrows
5710,917

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, 710917

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 710,917 = 113,746,720

This can also be written as 25 x 51 x 710,9171 = 113,746,720

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


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