Q: What are the prime factors of the number 536,517?

 A: 3, 31, 641

Why are those the prime factors of the number 536,517?

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 536,517

536,517
Factor Arrows
3178,839
Factor Arrows
359,613
Factor Arrows
319,871
Factor Arrows
31641

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:

3, 31, 641

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 31 x 641 = 536,517

This can also be written as 33 x 311 x 6411 = 536,517

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 536,517:


Ask a Question