Q: What are the prime factors of the number 326,364?

 A: 2, 3, 27197

Why are those the prime factors of the number 326,364?

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 326,364

326,364
Factor Arrows
2163,182
Factor Arrows
281,591
Factor Arrows
327,197

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, 27197

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 27,197 = 326,364

This can also be written as 22 x 31 x 27,1971 = 326,364

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 326,364:


Ask a Question