Q: What are the prime factors of the number 508,772?

 A: 2, 11, 31, 373

Why are those the prime factors of the number 508,772?

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 508,772

508,772
Factor Arrows
2254,386
Factor Arrows
2127,193
Factor Arrows
1111,563
Factor Arrows
31373

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, 11, 31, 373

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 31 x 373 = 508,772

This can also be written as 22 x 111 x 311 x 3731 = 508,772

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 508,772:


Ask a Question