Q: What are the prime factors of the number 2,680?

 A: 2, 5, 67

Why are those the prime factors of the number 2,680?

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 2,680

2,680
Factor Arrows
21,340
Factor Arrows
2670
Factor Arrows
2335
Factor Arrows
567

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, 67

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 67 = 2,680

This can also be written as 23 x 51 x 671 = 2,680

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


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