Q: What are the prime factors of the number 37,924,558?

 A: 2, 7, 163, 16619

Why are those the prime factors of the number 37,924,558?

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 37,924,558

37,924,558
Factor Arrows
218,962,279
Factor Arrows
72,708,897
Factor Arrows
16316,619

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, 7, 163, 16619

We can check our work by multiplying all of the prime factors together: 2 x 7 x 163 x 16,619 = 37,924,558

This can also be written as 21 x 71 x 1631 x 16,6191 = 37,924,558

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


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