Q: What are the prime factors of the number 311,292?

 A: 2, 3, 8647

Why are those the prime factors of the number 311,292?

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 311,292

311,292
Factor Arrows
2155,646
Factor Arrows
277,823
Factor Arrows
325,941
Factor Arrows
38,647

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, 3, 8647

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 8,647 = 311,292

This can also be written as 22 x 32 x 8,6471 = 311,292

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 311,292:


Ask a Question