Q: What are the prime factors of the number 27,919,038?

 A: 2, 3, 7, 664739

Why are those the prime factors of the number 27,919,038?

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 27,919,038

27,919,038
Factor Arrows
213,959,519
Factor Arrows
34,653,173
Factor Arrows
7664,739

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, 7, 664739

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 664,739 = 27,919,038

This can also be written as 21 x 31 x 71 x 664,7391 = 27,919,038

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


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