Q: What are the prime factors of the number 125,385?

 A: 3, 5, 13, 643

Why are those the prime factors of the number 125,385?

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 125,385

125,385
Factor Arrows
341,795
Factor Arrows
58,359
Factor Arrows
13643

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, 5, 13, 643

We can check our work by multiplying all of the prime factors together: 3 x 5 x 13 x 643 = 125,385

This can also be written as 31 x 51 x 131 x 6431 = 125,385

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 125,385:


Ask a Question