Q: What are the prime factors of the number 445,551,256?

 A: 2, 55693907

Why are those the prime factors of the number 445,551,256?

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 445,551,256

445,551,256
Factor Arrows
2222,775,628
Factor Arrows
2111,387,814
Factor Arrows
255,693,907

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, 55693907

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 55,693,907 = 445,551,256

This can also be written as 23 x 55,693,9071 = 445,551,256

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


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