Q: What are the prime factors of the number 14,442,827?

 A: 7, 23, 109, 823

Why are those the prime factors of the number 14,442,827?

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 14,442,827

14,442,827
Factor Arrows
72,063,261
Factor Arrows
2389,707
Factor Arrows
109823

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:

7, 23, 109, 823

We can check our work by multiplying all of the prime factors together: 7 x 23 x 109 x 823 = 14,442,827

This can also be written as 71 x 231 x 1091 x 8231 = 14,442,827

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 14,442,827:


Ask a Question