Q: What are the prime factors of the number 28,008,256?

 A: 2, 437629

Why are those the prime factors of the number 28,008,256?

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 28,008,256

28,008,256
Factor Arrows
214,004,128
Factor Arrows
27,002,064
Factor Arrows
23,501,032
Factor Arrows
21,750,516
Factor Arrows
2875,258
Factor Arrows
2437,629

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, 437629

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 437,629 = 28,008,256

This can also be written as 26 x 437,6291 = 28,008,256

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


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