Q: What are the prime factors of the number 22,703,888?

 A: 2, 67, 21179

Why are those the prime factors of the number 22,703,888?

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 22,703,888

22,703,888
Factor Arrows
211,351,944
Factor Arrows
25,675,972
Factor Arrows
22,837,986
Factor Arrows
21,418,993
Factor Arrows
6721,179

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, 67, 21179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 67 x 21,179 = 22,703,888

This can also be written as 24 x 671 x 21,1791 = 22,703,888

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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