Q: What are the prime factors of the number 136,377,060?

 A: 2, 3, 5, 17, 19, 31, 227

Why are those the prime factors of the number 136,377,060?

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 136,377,060

136,377,060
Factor Arrows
268,188,530
Factor Arrows
234,094,265
Factor Arrows
311,364,755
Factor Arrows
52,272,951
Factor Arrows
17133,703
Factor Arrows
197,037
Factor Arrows
31227

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, 17, 19, 31, 227

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 17 x 19 x 31 x 227 = 136,377,060

This can also be written as 22 x 31 x 51 x 171 x 191 x 311 x 2271 = 136,377,060

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 136,377,060:


Ask a Question