Q: What are the prime factors of the number 13,083,776?

 A: 2, 102217

Why are those the prime factors of the number 13,083,776?

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 13,083,776

13,083,776
Factor Arrows
26,541,888
Factor Arrows
23,270,944
Factor Arrows
21,635,472
Factor Arrows
2817,736
Factor Arrows
2408,868
Factor Arrows
2204,434
Factor Arrows
2102,217

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, 102217

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 102,217 = 13,083,776

This can also be written as 27 x 102,2171 = 13,083,776

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


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