Q: What are the prime factors of the number 379,616?

 A: 2, 11863

Why are those the prime factors of the number 379,616?

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 379,616

379,616
Factor Arrows
2189,808
Factor Arrows
294,904
Factor Arrows
247,452
Factor Arrows
223,726
Factor Arrows
211,863

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, 11863

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 11,863 = 379,616

This can also be written as 25 x 11,8631 = 379,616

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


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