Factors of 132
The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, and 132. In total, 132 has 12 factors. Its prime factorization is 2² × 3 × 11, and the sum of all its factors is 336.
All factors of 132
Here are all 12 factors of 132, listed from smallest to largest.
Factor pairs of 132
These 6 pairs of whole numbers each multiply to give 132.
Prime factorization of 132
Dividing 132 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 132 are 2, 3, 11. To factorize any other number, use the prime factorization calculator.
Factor tree of 132
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 132
| Number of factors | 12 |
|---|---|
| Sum of factors | 336 |
| Sum of proper factors | 204 |
| Prime factorization | 2² × 3 × 11 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 132 interesting
- 132 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.
- 132 is an abundant number: its proper factors sum to 204, which is 72 more than 132 itself.
- 132 has 3 distinct prime factors (2, 3, 11), which is why it has so many divisors.
How to find the factors of 132 yourself
Divide 132 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 √132 ≈ 11.49, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 132.
Frequently asked questions about 132
What are the factors of 132?
Is 132 a prime number?
What is the prime factorization of 132?
What two numbers multiply to give 132?
What is the sum of the factors of 132?
Is 132 a perfect square?
What is the largest factor of 132 other than itself?
How many factors does 132 have?
Explore more
Try another number in the factor calculator, break 132 down further with the prime factorization calculator, or compare 132 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.