Q: What are the prime factors of the number 231,725,620?

 A: 2, 5, 7, 31, 107, 499

Why are those the prime factors of the number 231,725,620?

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 231,725,620

231,725,620
Factor Arrows
2115,862,810
Factor Arrows
257,931,405
Factor Arrows
511,586,281
Factor Arrows
71,655,183
Factor Arrows
3153,393
Factor Arrows
107499

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, 5, 7, 31, 107, 499

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 31 x 107 x 499 = 231,725,620

This can also be written as 22 x 51 x 71 x 311 x 1071 x 4991 = 231,725,620

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 231,725,620:


Ask a Question