Factors of 18
The factors of 18 are 1, 2, 3, 6, 9, and 18. In total, 18 has 6 factors. Its prime factorization is 2 × 3², and the sum of all its factors is 39.
All factors of 18
Here are all 6 factors of 18, listed from smallest to largest.
Factor pairs of 18
These 3 pairs of whole numbers each multiply to give 18.
Prime factorization of 18
Dividing 18 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 18 are 2, 3. To factorize any other number, use the prime factorization calculator.
Factor tree of 18
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 18
| Number of factors | 6 |
|---|---|
| Sum of factors | 39 |
| Sum of proper factors | 21 |
| Prime factorization | 2 × 3² |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 18 interesting
- 18 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
- 18 is an abundant number: its proper factors sum to 21, which is 3 more than 18 itself.
How to find the factors of 18 yourself
Divide 18 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 √18 ≈ 4.24, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 6, 9, 18. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 18.
Frequently asked questions about 18
What are the factors of 18?
Is 18 a prime number?
What is the prime factorization of 18?
What two numbers multiply to give 18?
What is the sum of the factors of 18?
Is 18 a perfect square?
What is the largest factor of 18 other than itself?
How many factors does 18 have?
Explore more
Try another number in the factor calculator, break 18 down further with the prime factorization calculator, or compare 18 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.