Q: What are the prime factors of the number 515,556?

 A: 2, 3, 14321

Why are those the prime factors of the number 515,556?

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 515,556

515,556
Factor Arrows
2257,778
Factor Arrows
2128,889
Factor Arrows
342,963
Factor Arrows
314,321

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, 14321

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 14,321 = 515,556

This can also be written as 22 x 32 x 14,3211 = 515,556

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 515,556:


Ask a Question