Q: What are the prime factors of the number 22,187,844?

 A: 2, 3, 7, 1087

Why are those the prime factors of the number 22,187,844?

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 22,187,844

22,187,844
Factor Arrows
211,093,922
Factor Arrows
25,546,961
Factor Arrows
31,848,987
Factor Arrows
3616,329
Factor Arrows
3205,443
Factor Arrows
368,481
Factor Arrows
322,827
Factor Arrows
37,609
Factor Arrows
71,087

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, 7, 1087

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 1,087 = 22,187,844

This can also be written as 22 x 36 x 71 x 1,0871 = 22,187,844

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 22,187,844:


Ask a Question