Q: What are the prime factors of the number 98,809,488?

 A: 2, 3, 686177

Why are those the prime factors of the number 98,809,488?

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 98,809,488

98,809,488
Factor Arrows
249,404,744
Factor Arrows
224,702,372
Factor Arrows
212,351,186
Factor Arrows
26,175,593
Factor Arrows
32,058,531
Factor Arrows
3686,177

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, 686177

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 686,177 = 98,809,488

This can also be written as 24 x 32 x 686,1771 = 98,809,488

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 98,809,488:


Ask a Question