Q: What are the prime factors of the number 20,720,256?

 A: 2, 3, 53959

Why are those the prime factors of the number 20,720,256?

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 20,720,256

20,720,256
Factor Arrows
210,360,128
Factor Arrows
25,180,064
Factor Arrows
22,590,032
Factor Arrows
21,295,016
Factor Arrows
2647,508
Factor Arrows
2323,754
Factor Arrows
2161,877
Factor Arrows
353,959

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, 3, 53959

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 2 x 3 x 53,959 = 20,720,256

This can also be written as 27 x 31 x 53,9591 = 20,720,256

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


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