Q: What are the prime factors of the number 56,530,575?

 A: 3, 5, 89, 941

Why are those the prime factors of the number 56,530,575?

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 56,530,575

56,530,575
Factor Arrows
318,843,525
Factor Arrows
36,281,175
Factor Arrows
32,093,725
Factor Arrows
5418,745
Factor Arrows
583,749
Factor Arrows
89941

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:

3, 5, 89, 941

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 5 x 89 x 941 = 56,530,575

This can also be written as 33 x 52 x 891 x 9411 = 56,530,575

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 56,530,575:


Ask a Question