Q: What are the prime factors of the number 11,414,656?

 A: 2, 11, 67

Why are those the prime factors of the number 11,414,656?

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 11,414,656

11,414,656
Factor Arrows
25,707,328
Factor Arrows
22,853,664
Factor Arrows
21,426,832
Factor Arrows
2713,416
Factor Arrows
2356,708
Factor Arrows
2178,354
Factor Arrows
289,177
Factor Arrows
118,107
Factor Arrows
11737
Factor Arrows
1167

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, 11, 67

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 11 x 11 x 11 x 67 = 11,414,656

This can also be written as 27 x 113 x 671 = 11,414,656

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


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