Q: What are the prime factors of the number 138,719,536?

 A: 2, 383, 22637

Why are those the prime factors of the number 138,719,536?

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 138,719,536

138,719,536
Factor Arrows
269,359,768
Factor Arrows
234,679,884
Factor Arrows
217,339,942
Factor Arrows
28,669,971
Factor Arrows
38322,637

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, 383, 22637

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 383 x 22,637 = 138,719,536

This can also be written as 24 x 3831 x 22,6371 = 138,719,536

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


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