Q: What are the prime factors of the number 111,605,352?

 A: 2, 3, 239, 19457

Why are those the prime factors of the number 111,605,352?

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 111,605,352

111,605,352
Factor Arrows
255,802,676
Factor Arrows
227,901,338
Factor Arrows
213,950,669
Factor Arrows
34,650,223
Factor Arrows
23919,457

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, 239, 19457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 239 x 19,457 = 111,605,352

This can also be written as 23 x 31 x 2391 x 19,4571 = 111,605,352

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 111,605,352:


Ask a Question