Q: What are the prime factors of the number 22,830,540?

 A: 2, 3, 5, 29, 13121

Why are those the prime factors of the number 22,830,540?

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 22,830,540

22,830,540
Factor Arrows
211,415,270
Factor Arrows
25,707,635
Factor Arrows
31,902,545
Factor Arrows
5380,509
Factor Arrows
2913,121

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, 29, 13121

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 29 x 13,121 = 22,830,540

This can also be written as 22 x 31 x 51 x 291 x 13,1211 = 22,830,540

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 22,830,540:


Ask a Question