Q: What are the prime factors of the number 15,618?

 A: 2, 3, 19, 137

Why are those the prime factors of the number 15,618?

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 15,618

15,618
Factor Arrows
27,809
Factor Arrows
32,603
Factor Arrows
19137

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, 19, 137

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 137 = 15,618

This can also be written as 21 x 31 x 191 x 1371 = 15,618

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 15,618:


Ask a Question