Q: What are the prime factors of the number 14,325,348?

 A: 2, 3, 31, 97, 397

Why are those the prime factors of the number 14,325,348?

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 14,325,348

14,325,348
Factor Arrows
27,162,674
Factor Arrows
23,581,337
Factor Arrows
31,193,779
Factor Arrows
3138,509
Factor Arrows
97397

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, 31, 97, 397

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 31 x 97 x 397 = 14,325,348

This can also be written as 22 x 31 x 311 x 971 x 3971 = 14,325,348

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 14,325,348:


Ask a Question