Q: What are the prime factors of the number 390,530?

 A: 2, 5, 7, 797

Why are those the prime factors of the number 390,530?

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 390,530

390,530
Factor Arrows
2195,265
Factor Arrows
539,053
Factor Arrows
75,579
Factor Arrows
7797

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, 5, 7, 797

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 7 x 797 = 390,530

This can also be written as 21 x 51 x 72 x 7971 = 390,530

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 390,530:


Ask a Question