Q: What are the prime factors of the number 12,672?

 A: 2, 3, 11

Why are those the prime factors of the number 12,672?

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 12,672

12,672
Factor Arrows
26,336
Factor Arrows
23,168
Factor Arrows
21,584
Factor Arrows
2792
Factor Arrows
2396
Factor Arrows
2198
Factor Arrows
299
Factor Arrows
333
Factor Arrows
311

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, 11

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 = 12,672

This can also be written as 27 x 32 x 111 = 12,672

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 12,672:


Ask a Question