Q: What are the prime factors of the number 688,328?

 A: 2, 139, 619

Why are those the prime factors of the number 688,328?

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 688,328

688,328
Factor Arrows
2344,164
Factor Arrows
2172,082
Factor Arrows
286,041
Factor Arrows
139619

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, 619

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 139 x 619 = 688,328

This can also be written as 23 x 1391 x 6191 = 688,328

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


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