Q: What are the prime factors of the number 539,952?

 A: 2, 3, 7, 1607

Why are those the prime factors of the number 539,952?

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 539,952

539,952
Factor Arrows
2269,976
Factor Arrows
2134,988
Factor Arrows
267,494
Factor Arrows
233,747
Factor Arrows
311,249
Factor Arrows
71,607

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, 7, 1607

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 1,607 = 539,952

This can also be written as 24 x 31 x 71 x 1,6071 = 539,952

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 539,952:


Ask a Question