Q: What are the prime factors of the number 637,446,726?

 A: 2, 3, 7, 1686367

Why are those the prime factors of the number 637,446,726?

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 637,446,726

637,446,726
Factor Arrows
2318,723,363
Factor Arrows
3106,241,121
Factor Arrows
335,413,707
Factor Arrows
311,804,569
Factor Arrows
71,686,367

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, 7, 1686367

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 1,686,367 = 637,446,726

This can also be written as 21 x 33 x 71 x 1,686,3671 = 637,446,726

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


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 637,446,726:


Ask a Question