Factors of 204
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, and 204. In total, 204 has 12 factors. Its prime factorization is 2² × 3 × 17, and the sum of all its factors is 504.
All factors of 204
Here are all 12 factors of 204, listed from smallest to largest.
Factor pairs of 204
These 6 pairs of whole numbers each multiply to give 204.
Prime factorization of 204
Dividing 204 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 204 are 2, 3, 17. To factorize any other number, use the prime factorization calculator.
Factor tree of 204
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 204
| Number of factors | 12 |
|---|---|
| Sum of factors | 504 |
| Sum of proper factors | 300 |
| Prime factorization | 2² × 3 × 17 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 204 interesting
- 204 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
- 204 is an abundant number: its proper factors sum to 300, which is 96 more than 204 itself.
- 204 has 3 distinct prime factors (2, 3, 17), which is why it has so many divisors.
How to find the factors of 204 yourself
Divide 204 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 √204 ≈ 14.28, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 204.
Frequently asked questions about 204
What are the factors of 204?
Is 204 a prime number?
What is the prime factorization of 204?
What two numbers multiply to give 204?
What is the sum of the factors of 204?
Is 204 a perfect square?
What is the largest factor of 204 other than itself?
How many factors does 204 have?
Explore more
Try another number in the factor calculator, break 204 down further with the prime factorization calculator, or compare 204 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.