Q: What are the prime factors of the number 424,932?

 A: 2, 3, 17, 2083

Why are those the prime factors of the number 424,932?

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 424,932

424,932
Factor Arrows
2212,466
Factor Arrows
2106,233
Factor Arrows
335,411
Factor Arrows
172,083

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, 17, 2083

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 17 x 2,083 = 424,932

This can also be written as 22 x 31 x 171 x 2,0831 = 424,932

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 424,932:


Ask a Question