Q: What are the prime factors of the number 542,160?

 A: 2, 3, 5, 251

Why are those the prime factors of the number 542,160?

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 542,160

542,160
Factor Arrows
2271,080
Factor Arrows
2135,540
Factor Arrows
267,770
Factor Arrows
233,885
Factor Arrows
311,295
Factor Arrows
33,765
Factor Arrows
31,255
Factor Arrows
5251

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, 251

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 251 = 542,160

This can also be written as 24 x 33 x 51 x 2511 = 542,160

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 542,160:


Ask a Question