Q: What are the prime factors of the number 162,720?

 A: 2, 3, 5, 113

Why are those the prime factors of the number 162,720?

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 162,720

162,720
Factor Arrows
281,360
Factor Arrows
240,680
Factor Arrows
220,340
Factor Arrows
210,170
Factor Arrows
25,085
Factor Arrows
31,695
Factor Arrows
3565
Factor Arrows
5113

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, 5, 113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 113 = 162,720

This can also be written as 25 x 32 x 51 x 1131 = 162,720

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 162,720:


Ask a Question