Q: What are the prime factors of the number 98,224?

 A: 2, 7, 877

Why are those the prime factors of the number 98,224?

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 98,224

98,224
Factor Arrows
249,112
Factor Arrows
224,556
Factor Arrows
212,278
Factor Arrows
26,139
Factor Arrows
7877

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, 877

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 877 = 98,224

This can also be written as 24 x 71 x 8771 = 98,224

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 98,224:


Ask a Question