Q: What are the prime factors of the number 310,527?

 A: 3, 7, 31, 53

Why are those the prime factors of the number 310,527?

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 310,527

310,527
Factor Arrows
3103,509
Factor Arrows
334,503
Factor Arrows
311,501
Factor Arrows
71,643
Factor Arrows
3153

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, 7, 31, 53

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 31 x 53 = 310,527

This can also be written as 33 x 71 x 311 x 531 = 310,527

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 310,527:


Ask a Question