Q: What are the prime factors of the number 555,628?

 A: 2, 17, 8171

Why are those the prime factors of the number 555,628?

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 555,628

555,628
Factor Arrows
2277,814
Factor Arrows
2138,907
Factor Arrows
178,171

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, 17, 8171

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 8,171 = 555,628

This can also be written as 22 x 171 x 8,1711 = 555,628

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 555,628:


Ask a Question