Q: What are the prime factors of the number 968,356?

 A: 2, 109, 2221

Why are those the prime factors of the number 968,356?

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 968,356

968,356
Factor Arrows
2484,178
Factor Arrows
2242,089
Factor Arrows
1092,221

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, 109, 2221

We can check our work by multiplying all of the prime factors together: 2 x 2 x 109 x 2,221 = 968,356

This can also be written as 22 x 1091 x 2,2211 = 968,356

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 968,356:


Ask a Question