Q: What are the prime factors of the number 572,184?

 A: 2, 3, 883

Why are those the prime factors of the number 572,184?

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 572,184

572,184
Factor Arrows
2286,092
Factor Arrows
2143,046
Factor Arrows
271,523
Factor Arrows
323,841
Factor Arrows
37,947
Factor Arrows
32,649
Factor Arrows
3883

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, 883

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 883 = 572,184

This can also be written as 23 x 34 x 8831 = 572,184

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 572,184:


Ask a Question