Q: What are the prime factors of the number 27,614,724?

 A: 2, 3, 2301227

Why are those the prime factors of the number 27,614,724?

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 27,614,724

27,614,724
Factor Arrows
213,807,362
Factor Arrows
26,903,681
Factor Arrows
32,301,227

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, 2301227

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 2,301,227 = 27,614,724

This can also be written as 22 x 31 x 2,301,2271 = 27,614,724

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


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