Q: What are the prime factors of the number 22,505,792?

 A: 2, 351653

Why are those the prime factors of the number 22,505,792?

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 22,505,792

22,505,792
Factor Arrows
211,252,896
Factor Arrows
25,626,448
Factor Arrows
22,813,224
Factor Arrows
21,406,612
Factor Arrows
2703,306
Factor Arrows
2351,653

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, 351653

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 351,653 = 22,505,792

This can also be written as 26 x 351,6531 = 22,505,792

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


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