Q: What are the prime factors of the number 22,205,700?

 A: 2, 3, 5, 11, 2243

Why are those the prime factors of the number 22,205,700?

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 22,205,700

22,205,700
Factor Arrows
211,102,850
Factor Arrows
25,551,425
Factor Arrows
31,850,475
Factor Arrows
3616,825
Factor Arrows
5123,365
Factor Arrows
524,673
Factor Arrows
112,243

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, 5, 11, 2243

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 5 x 11 x 2,243 = 22,205,700

This can also be written as 22 x 32 x 52 x 111 x 2,2431 = 22,205,700

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


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