Q: What are the prime factors of the number 113,800?

 A: 2, 5, 569

Why are those the prime factors of the number 113,800?

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 113,800

113,800
Factor Arrows
256,900
Factor Arrows
228,450
Factor Arrows
214,225
Factor Arrows
52,845
Factor Arrows
5569

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, 5, 569

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 569 = 113,800

This can also be written as 23 x 52 x 5691 = 113,800

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 113,800:


Ask a Question