Q: What are the prime factors of the number 8,512?

 A: 2, 7, 19

Why are those the prime factors of the number 8,512?

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 8,512

8,512
Factor Arrows
24,256
Factor Arrows
22,128
Factor Arrows
21,064
Factor Arrows
2532
Factor Arrows
2266
Factor Arrows
2133
Factor Arrows
719

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, 7, 19

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 7 x 19 = 8,512

This can also be written as 26 x 71 x 191 = 8,512

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 8,512:


Ask a Question