Factors of 324
The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, and 324. In total, 324 has 15 factors. Its prime factorization is 2² × 3⁴, and the sum of all its factors is 847. 324 is also a perfect square, equal to 18 × 18.
All factors of 324
Here are all 15 factors of 324, listed from smallest to largest.
Factor pairs of 324
These 8 pairs of whole numbers each multiply to give 324.
Notice the pair (18, 18) — because 324 is a perfect square, this pair uses the same number twice.
Prime factorization of 324
Dividing 324 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 324 are 2, 3. To factorize any other number, use the prime factorization calculator.
Factor tree of 324
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 324
| Number of factors | 15 |
|---|---|
| Sum of factors | 847 |
| Sum of proper factors | 523 |
| Prime factorization | 2² × 3⁴ |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | Yes (18²) |
| Perfect cube? | No |
| Classification | Abundant |
What makes 324 interesting
- 324 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.
- 324 is a perfect square: 18 × 18 = 324. This is why it has an odd number of factors (15) — the pair (18, 18) counts only once.
- 324 is an abundant number: its proper factors sum to 523, which is 199 more than 324 itself.
How to find the factors of 324 yourself
Divide 324 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 √324 ≈ 18.00, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 324.
Frequently asked questions about 324
What are the factors of 324?
Is 324 a prime number?
What is the prime factorization of 324?
What two numbers multiply to give 324?
What is the sum of the factors of 324?
Is 324 a perfect square?
What is the largest factor of 324 other than itself?
How many factors does 324 have?
Explore more
Try another number in the factor calculator, break 324 down further with the prime factorization calculator, or compare 324 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.