Q: What are the prime factors of the number 26,028?

 A: 2, 3, 241

Why are those the prime factors of the number 26,028?

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 26,028

26,028
Factor Arrows
213,014
Factor Arrows
26,507
Factor Arrows
32,169
Factor Arrows
3723
Factor Arrows
3241

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, 241

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 241 = 26,028

This can also be written as 22 x 33 x 2411 = 26,028

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 26,028:


Ask a Question