Q: What are the prime factors of the number 84,268,638?

 A: 2, 3, 59, 79349

Why are those the prime factors of the number 84,268,638?

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 84,268,638

84,268,638
Factor Arrows
242,134,319
Factor Arrows
314,044,773
Factor Arrows
34,681,591
Factor Arrows
5979,349

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, 59, 79349

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 59 x 79,349 = 84,268,638

This can also be written as 21 x 32 x 591 x 79,3491 = 84,268,638

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


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