Q: What are the prime factors of the number 315,022,552?

 A: 2, 13, 107, 28309

Why are those the prime factors of the number 315,022,552?

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 315,022,552

315,022,552
Factor Arrows
2157,511,276
Factor Arrows
278,755,638
Factor Arrows
239,377,819
Factor Arrows
133,029,063
Factor Arrows
10728,309

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, 13, 107, 28309

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 107 x 28,309 = 315,022,552

This can also be written as 23 x 131 x 1071 x 28,3091 = 315,022,552

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 315,022,552:


Ask a Question