Factors of 684
The factors of 684 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, and 684. In total, 684 has 18 factors. Its prime factorization is 2² × 3² × 19, and the sum of all its factors is 1820.
All factors of 684
Here are all 18 factors of 684, listed from smallest to largest.
Factor pairs of 684
These 9 pairs of whole numbers each multiply to give 684.
Prime factorization of 684
Dividing 684 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 684 are 2, 3, 19. To factorize any other number, use the prime factorization calculator.
Factor tree of 684
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 684
| Number of factors | 18 |
|---|---|
| Sum of factors | 1820 |
| Sum of proper factors | 1136 |
| Prime factorization | 2² × 3² × 19 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 684 interesting
- 684 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 9 different ways.
- 684 is an abundant number: its proper factors sum to 1136, which is 452 more than 684 itself.
- 684 has 3 distinct prime factors (2, 3, 19), which is why it has so many divisors.
How to find the factors of 684 yourself
Divide 684 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 √684 ≈ 26.15, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 684.
Frequently asked questions about 684
What are the factors of 684?
Is 684 a prime number?
What is the prime factorization of 684?
What two numbers multiply to give 684?
What is the sum of the factors of 684?
Is 684 a perfect square?
What is the largest factor of 684 other than itself?
How many factors does 684 have?
Explore more
Try another number in the factor calculator, break 684 down further with the prime factorization calculator, or compare 684 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.