Q: What are the prime factors of the number 80,080,816?

 A: 2, 331, 15121

Why are those the prime factors of the number 80,080,816?

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 80,080,816

80,080,816
Factor Arrows
240,040,408
Factor Arrows
220,020,204
Factor Arrows
210,010,102
Factor Arrows
25,005,051
Factor Arrows
33115,121

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, 331, 15121

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 331 x 15,121 = 80,080,816

This can also be written as 24 x 3311 x 15,1211 = 80,080,816

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


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