Q: What are the prime factors of the number 11,117,728?

 A: 2, 17, 107, 191

Why are those the prime factors of the number 11,117,728?

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 11,117,728

11,117,728
Factor Arrows
25,558,864
Factor Arrows
22,779,432
Factor Arrows
21,389,716
Factor Arrows
2694,858
Factor Arrows
2347,429
Factor Arrows
1720,437
Factor Arrows
107191

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, 17, 107, 191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 17 x 107 x 191 = 11,117,728

This can also be written as 25 x 171 x 1071 x 1911 = 11,117,728

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


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