Q: What are the prime factors of the number 113,015,328?

 A: 2, 3, 1177243

Why are those the prime factors of the number 113,015,328?

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 113,015,328

113,015,328
Factor Arrows
256,507,664
Factor Arrows
228,253,832
Factor Arrows
214,126,916
Factor Arrows
27,063,458
Factor Arrows
23,531,729
Factor Arrows
31,177,243

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, 3, 1177243

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 1,177,243 = 113,015,328

This can also be written as 25 x 31 x 1,177,2431 = 113,015,328

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


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