Q: What are the prime factors of the number 232,213,320?

 A: 2, 3, 5, 645037

Why are those the prime factors of the number 232,213,320?

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 232,213,320

232,213,320
Factor Arrows
2116,106,660
Factor Arrows
258,053,330
Factor Arrows
229,026,665
Factor Arrows
39,675,555
Factor Arrows
33,225,185
Factor Arrows
5645,037

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, 5, 645037

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 645,037 = 232,213,320

This can also be written as 23 x 32 x 51 x 645,0371 = 232,213,320

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 232,213,320:


Ask a Question