Q: What are the prime factors of the number 22,322,440?

 A: 2, 5, 7, 1627

Why are those the prime factors of the number 22,322,440?

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 22,322,440

22,322,440
Factor Arrows
211,161,220
Factor Arrows
25,580,610
Factor Arrows
22,790,305
Factor Arrows
5558,061
Factor Arrows
779,723
Factor Arrows
711,389
Factor Arrows
71,627

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, 5, 7, 1627

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 7 x 7 x 7 x 1,627 = 22,322,440

This can also be written as 23 x 51 x 73 x 1,6271 = 22,322,440

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


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