Q: What are the prime factors of the number 22,155,520?

 A: 2, 5, 19, 911

Why are those the prime factors of the number 22,155,520?

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 22,155,520

22,155,520
Factor Arrows
211,077,760
Factor Arrows
25,538,880
Factor Arrows
22,769,440
Factor Arrows
21,384,720
Factor Arrows
2692,360
Factor Arrows
2346,180
Factor Arrows
2173,090
Factor Arrows
286,545
Factor Arrows
517,309
Factor Arrows
19911

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, 5, 19, 911

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 19 x 911 = 22,155,520

This can also be written as 28 x 51 x 191 x 9111 = 22,155,520

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 22,155,520:


Ask a Question