Factors of 680
The factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, and 680. In total, 680 has 16 factors. Its prime factorization is 2³ × 5 × 17, and the sum of all its factors is 1620.
All factors of 680
Here are all 16 factors of 680, listed from smallest to largest.
Factor pairs of 680
These 8 pairs of whole numbers each multiply to give 680.
Prime factorization of 680
Dividing 680 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 680 are 2, 5, 17. To factorize any other number, use the prime factorization calculator.
Factor tree of 680
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 680
| Number of factors | 16 |
|---|---|
| Sum of factors | 1620 |
| Sum of proper factors | 940 |
| Prime factorization | 2³ × 5 × 17 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 680 interesting
- 680 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
- 680 is an abundant number: its proper factors sum to 940, which is 260 more than 680 itself.
- 680 has 3 distinct prime factors (2, 5, 17), which is why it has so many divisors.
How to find the factors of 680 yourself
Divide 680 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √680 ≈ 26.08, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 680.
Frequently asked questions about 680
What are the factors of 680?
Is 680 a prime number?
What is the prime factorization of 680?
What two numbers multiply to give 680?
What is the sum of the factors of 680?
Is 680 a perfect square?
What is the largest factor of 680 other than itself?
How many factors does 680 have?
Explore more
Try another number in the factor calculator, break 680 down further with the prime factorization calculator, or compare 680 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.