Q: What are the prime factors of the number 20,751,728?

 A: 2, 1296983

Why are those the prime factors of the number 20,751,728?

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 20,751,728

20,751,728
Factor Arrows
210,375,864
Factor Arrows
25,187,932
Factor Arrows
22,593,966
Factor Arrows
21,296,983

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, 1296983

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 1,296,983 = 20,751,728

This can also be written as 24 x 1,296,9831 = 20,751,728

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


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