Q: What are the prime factors of the number 80,680?

 A: 2, 5, 2017

Why are those the prime factors of the number 80,680?

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 80,680

80,680
Factor Arrows
240,340
Factor Arrows
220,170
Factor Arrows
210,085
Factor Arrows
52,017

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, 5, 2017

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 2,017 = 80,680

This can also be written as 23 x 51 x 2,0171 = 80,680

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


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