Q: What are the prime factors of the number 22,072,064?

 A: 2, 7, 109, 113

Why are those the prime factors of the number 22,072,064?

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 22,072,064

22,072,064
Factor Arrows
211,036,032
Factor Arrows
25,518,016
Factor Arrows
22,759,008
Factor Arrows
21,379,504
Factor Arrows
2689,752
Factor Arrows
2344,876
Factor Arrows
2172,438
Factor Arrows
286,219
Factor Arrows
712,317
Factor Arrows
109113

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, 7, 109, 113

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 7 x 109 x 113 = 22,072,064

This can also be written as 28 x 71 x 1091 x 1131 = 22,072,064

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 22,072,064:


Ask a Question