Q: What are the prime factors of the number 113,550,464?

 A: 2, 887113

Why are those the prime factors of the number 113,550,464?

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 113,550,464

113,550,464
Factor Arrows
256,775,232
Factor Arrows
228,387,616
Factor Arrows
214,193,808
Factor Arrows
27,096,904
Factor Arrows
23,548,452
Factor Arrows
21,774,226
Factor Arrows
2887,113

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, 887113

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 2 x 887,113 = 113,550,464

This can also be written as 27 x 887,1131 = 113,550,464

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


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