# Q: What are the prime factors of the number 14,930,352?

A: 2, 3, 17, 19, 107

## Why are those the prime factors of the number 14,930,352?

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 14,930,352

 14,930,352 2 7,465,176 2 3,732,588 2 1,866,294 2 933,147 3 311,049 3 103,683 3 34,561 17 2,033 19 107

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, 17, 19, 107

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17 x 19 x 107 = 14,930,352

This can also be written as 24 x 33 x 171 x 191 x 1071 = 14,930,352

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 14,930,352:

General Questions
Factoring Questions
Calculation Questions
Miscellaneous Questions