Q: What are the prime factors of the number 22,220,544?

 A: 2, 3, 28933

Why are those the prime factors of the number 22,220,544?

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 22,220,544

22,220,544
Factor Arrows
211,110,272
Factor Arrows
25,555,136
Factor Arrows
22,777,568
Factor Arrows
21,388,784
Factor Arrows
2694,392
Factor Arrows
2347,196
Factor Arrows
2173,598
Factor Arrows
286,799
Factor Arrows
328,933

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, 28933

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 3 x 28,933 = 22,220,544

This can also be written as 28 x 31 x 28,9331 = 22,220,544

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


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