Q: What are the prime factors of the number 172,250,229?

 A: 3, 31, 1852153

Why are those the prime factors of the number 172,250,229?

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 172,250,229

172,250,229
Factor Arrows
357,416,743
Factor Arrows
311,852,153

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, 1852153

We can check our work by multiplying all of the prime factors together: 3 x 31 x 1,852,153 = 172,250,229

This can also be written as 31 x 311 x 1,852,1531 = 172,250,229

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 172,250,229:


Ask a Question