Q: What are the prime factors of the number 230,868?

 A: 2, 3, 11, 53

Why are those the prime factors of the number 230,868?

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 230,868

230,868
Factor Arrows
2115,434
Factor Arrows
257,717
Factor Arrows
319,239
Factor Arrows
36,413
Factor Arrows
11583
Factor Arrows
1153

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, 11, 53

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 11 x 53 = 230,868

This can also be written as 22 x 32 x 112 x 531 = 230,868

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 230,868:


Ask a Question