Q: What are the prime factors of the number 476,884?

 A: 2, 17, 7013

Why are those the prime factors of the number 476,884?

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 476,884

476,884
Factor Arrows
2238,442
Factor Arrows
2119,221
Factor Arrows
177,013

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, 7013

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 7,013 = 476,884

This can also be written as 22 x 171 x 7,0131 = 476,884

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 476,884:


Ask a Question