Q: What are the prime factors of the number 63,940,736?

 A: 2, 23, 37, 587

Why are those the prime factors of the number 63,940,736?

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 63,940,736

63,940,736
Factor Arrows
231,970,368
Factor Arrows
215,985,184
Factor Arrows
27,992,592
Factor Arrows
23,996,296
Factor Arrows
21,998,148
Factor Arrows
2999,074
Factor Arrows
2499,537
Factor Arrows
2321,719
Factor Arrows
37587

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, 23, 37, 587

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 23 x 37 x 587 = 63,940,736

This can also be written as 27 x 231 x 371 x 5871 = 63,940,736

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 63,940,736:


Ask a Question