Q: What are the prime factors of the number 13,338,016?

 A: 2, 61, 6833

Why are those the prime factors of the number 13,338,016?

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 13,338,016

13,338,016
Factor Arrows
26,669,008
Factor Arrows
23,334,504
Factor Arrows
21,667,252
Factor Arrows
2833,626
Factor Arrows
2416,813
Factor Arrows
616,833

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, 61, 6833

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 61 x 6,833 = 13,338,016

This can also be written as 25 x 611 x 6,8331 = 13,338,016

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


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