Q: What are the prime factors of the number 234,451,665?

 A: 3, 5, 7, 82699

Why are those the prime factors of the number 234,451,665?

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 234,451,665

234,451,665
Factor Arrows
378,150,555
Factor Arrows
326,050,185
Factor Arrows
38,683,395
Factor Arrows
32,894,465
Factor Arrows
5578,893
Factor Arrows
782,699

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:

3, 5, 7, 82699

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 7 x 82,699 = 234,451,665

This can also be written as 34 x 51 x 71 x 82,6991 = 234,451,665

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 234,451,665:


Ask a Question