Q: What are the prime factors of the number 18,707,176?

 A: 2, 139, 16823

Why are those the prime factors of the number 18,707,176?

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 18,707,176

18,707,176
Factor Arrows
29,353,588
Factor Arrows
24,676,794
Factor Arrows
22,338,397
Factor Arrows
13916,823

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, 139, 16823

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 139 x 16,823 = 18,707,176

This can also be written as 23 x 1391 x 16,8231 = 18,707,176

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


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