Q: What are the prime factors of the number 22,218,924?

 A: 2, 3, 7, 13, 20347

Why are those the prime factors of the number 22,218,924?

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 22,218,924

22,218,924
Factor Arrows
211,109,462
Factor Arrows
25,554,731
Factor Arrows
31,851,577
Factor Arrows
7264,511
Factor Arrows
1320,347

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, 13, 20347

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 13 x 20,347 = 22,218,924

This can also be written as 22 x 31 x 71 x 131 x 20,3471 = 22,218,924

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


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