Q: What are the prime factors of the number 63,080?

 A: 2, 5, 19, 83

Why are those the prime factors of the number 63,080?

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 63,080

63,080
Factor Arrows
231,540
Factor Arrows
215,770
Factor Arrows
27,885
Factor Arrows
51,577
Factor Arrows
1983

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, 5, 19, 83

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 19 x 83 = 63,080

This can also be written as 23 x 51 x 191 x 831 = 63,080

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 63,080:


Ask a Question