Q: What are the prime factors of the number 233,202,120?

 A: 2, 3, 5, 37, 53, 991

Why are those the prime factors of the number 233,202,120?

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 233,202,120

233,202,120
Factor Arrows
2116,601,060
Factor Arrows
258,300,530
Factor Arrows
229,150,265
Factor Arrows
39,716,755
Factor Arrows
51,943,351
Factor Arrows
3752,523
Factor Arrows
53991

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, 5, 37, 53, 991

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 37 x 53 x 991 = 233,202,120

This can also be written as 23 x 31 x 51 x 371 x 531 x 9911 = 233,202,120

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 233,202,120:


Ask a Question