Q: What are the prime factors of the number 113,431,232?

 A: 2, 31, 57173

Why are those the prime factors of the number 113,431,232?

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 113,431,232

113,431,232
Factor Arrows
256,715,616
Factor Arrows
228,357,808
Factor Arrows
214,178,904
Factor Arrows
27,089,452
Factor Arrows
23,544,726
Factor Arrows
21,772,363
Factor Arrows
3157,173

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, 31, 57173

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 31 x 57,173 = 113,431,232

This can also be written as 26 x 311 x 57,1731 = 113,431,232

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


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