Factors of 228
The factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, and 228. In total, 228 has 12 factors. Its prime factorization is 2² × 3 × 19, and the sum of all its factors is 560.
All factors of 228
Here are all 12 factors of 228, listed from smallest to largest.
Factor pairs of 228
These 6 pairs of whole numbers each multiply to give 228.
Prime factorization of 228
Dividing 228 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 228 are 2, 3, 19. To factorize any other number, use the prime factorization calculator.
Factor tree of 228
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 228
| Number of factors | 12 |
|---|---|
| Sum of factors | 560 |
| Sum of proper factors | 332 |
| Prime factorization | 2² × 3 × 19 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 228 interesting
- 228 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.
- 228 is an abundant number: its proper factors sum to 332, which is 104 more than 228 itself.
- 228 has 3 distinct prime factors (2, 3, 19), which is why it has so many divisors.
How to find the factors of 228 yourself
Divide 228 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 √228 ≈ 15.10, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 228.
Frequently asked questions about 228
What are the factors of 228?
Is 228 a prime number?
What is the prime factorization of 228?
What two numbers multiply to give 228?
What is the sum of the factors of 228?
Is 228 a perfect square?
What is the largest factor of 228 other than itself?
How many factors does 228 have?
Explore more
Try another number in the factor calculator, break 228 down further with the prime factorization calculator, or compare 228 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.