Q: What are the prime factors of the number 23,450?

 A: 2, 5, 7, 67

Why are those the prime factors of the number 23,450?

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 23,450

23,450
Factor Arrows
211,725
Factor Arrows
52,345
Factor Arrows
5469
Factor Arrows
767

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, 7, 67

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 7 x 67 = 23,450

This can also be written as 21 x 52 x 71 x 671 = 23,450

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 23,450:


Ask a Question