Q: What are the prime factors of the number 13,161,616?

 A: 2, 13, 63277

Why are those the prime factors of the number 13,161,616?

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 13,161,616

13,161,616
Factor Arrows
26,580,808
Factor Arrows
23,290,404
Factor Arrows
21,645,202
Factor Arrows
2822,601
Factor Arrows
1363,277

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, 13, 63277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 13 x 63,277 = 13,161,616

This can also be written as 24 x 131 x 63,2771 = 13,161,616

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


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