Q: What are the prime factors of the number 12,916,665?

 A: 3, 5, 10631

Why are those the prime factors of the number 12,916,665?

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 12,916,665

12,916,665
Factor Arrows
34,305,555
Factor Arrows
31,435,185
Factor Arrows
3478,395
Factor Arrows
3159,465
Factor Arrows
353,155
Factor Arrows
510,631

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, 10631

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 5 x 10,631 = 12,916,665

This can also be written as 35 x 51 x 10,6311 = 12,916,665

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 12,916,665:


Ask a Question