Q: What are the prime factors of the number 113,020,096?

 A: 2, 7, 252277

Why are those the prime factors of the number 113,020,096?

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 113,020,096

113,020,096
Factor Arrows
256,510,048
Factor Arrows
228,255,024
Factor Arrows
214,127,512
Factor Arrows
27,063,756
Factor Arrows
23,531,878
Factor Arrows
21,765,939
Factor Arrows
7252,277

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, 7, 252277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 7 x 252,277 = 113,020,096

This can also be written as 26 x 71 x 252,2771 = 113,020,096

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


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