Q: What are the prime factors of the number 234,651,357?

 A: 3, 17, 511223

Why are those the prime factors of the number 234,651,357?

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 234,651,357

234,651,357
Factor Arrows
378,217,119
Factor Arrows
326,072,373
Factor Arrows
38,690,791
Factor Arrows
17511,223

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, 17, 511223

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 17 x 511,223 = 234,651,357

This can also be written as 33 x 171 x 511,2231 = 234,651,357

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 234,651,357:


Ask a Question