Q: What are the prime factors of the number 12,944?

 A: 2, 809

Why are those the prime factors of the number 12,944?

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 12,944

12,944
Factor Arrows
26,472
Factor Arrows
23,236
Factor Arrows
21,618
Factor Arrows
2809

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, 809

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 809 = 12,944

This can also be written as 24 x 8091 = 12,944

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 12,944:


Ask a Question