Q: What are the prime factors of the number 922,082?

 A: 2, 7, 97

Why are those the prime factors of the number 922,082?

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 922,082

922,082
Factor Arrows
2461,041
Factor Arrows
765,863
Factor Arrows
79,409
Factor Arrows
9797

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, 7, 97

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 97 x 97 = 922,082

This can also be written as 21 x 72 x 972 = 922,082

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 922,082:


Ask a Question