Factors of 332
The factors of 332 are 1, 2, 4, 83, 166, and 332. In total, 332 has 6 factors. Its prime factorization is 2² × 83, and the sum of all its factors is 588.
All factors of 332
Here are all 6 factors of 332, listed from smallest to largest.
Factor pairs of 332
These 3 pairs of whole numbers each multiply to give 332.
Prime factorization of 332
Dividing 332 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 332 are 2, 83. To factorize any other number, use the prime factorization calculator.
Factor tree of 332
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 332
| Number of factors | 6 |
|---|---|
| Sum of factors | 588 |
| Sum of proper factors | 256 |
| Prime factorization | 2² × 83 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 332 interesting
- 332 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.
- 332 is a deficient number: its proper factors sum to 256, which is 76 less than 332 itself.
How to find the factors of 332 yourself
Divide 332 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 √332 ≈ 18.22, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 83, 166, 332. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 332.
Frequently asked questions about 332
What are the factors of 332?
Is 332 a prime number?
What is the prime factorization of 332?
What two numbers multiply to give 332?
What is the sum of the factors of 332?
Is 332 a perfect square?
What is the largest factor of 332 other than itself?
How many factors does 332 have?
Explore more
Try another number in the factor calculator, break 332 down further with the prime factorization calculator, or compare 332 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.