Q: What are the prime factors of the number 22,361,264?

 A: 2, 1397579

Why are those the prime factors of the number 22,361,264?

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 22,361,264

22,361,264
Factor Arrows
211,180,632
Factor Arrows
25,590,316
Factor Arrows
22,795,158
Factor Arrows
21,397,579

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, 1397579

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 1,397,579 = 22,361,264

This can also be written as 24 x 1,397,5791 = 22,361,264

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


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