Q: What are the prime factors of the number 39,767,484?

 A: 2, 3, 3313957

Why are those the prime factors of the number 39,767,484?

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 39,767,484

39,767,484
Factor Arrows
219,883,742
Factor Arrows
29,941,871
Factor Arrows
33,313,957

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, 3313957

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3,313,957 = 39,767,484

This can also be written as 22 x 31 x 3,313,9571 = 39,767,484

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


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