Q: What are the prime factors of the number 22,140,544?

 A: 2, 172973

Why are those the prime factors of the number 22,140,544?

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 22,140,544

22,140,544
Factor Arrows
211,070,272
Factor Arrows
25,535,136
Factor Arrows
22,767,568
Factor Arrows
21,383,784
Factor Arrows
2691,892
Factor Arrows
2345,946
Factor Arrows
2172,973

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, 172973

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 172,973 = 22,140,544

This can also be written as 27 x 172,9731 = 22,140,544

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


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