Factors of 33
The factors of 33 are 1, 3, 11, and 33. In total, 33 has 4 factors. Its prime factorization is 3 × 11, and the sum of all its factors is 48.
All factors of 33
Here are all 4 factors of 33, listed from smallest to largest.
Factor pairs of 33
These 2 pairs of whole numbers each multiply to give 33.
Prime factorization of 33
Dividing 33 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 33 are 3, 11. To factorize any other number, use the prime factorization calculator.
Factor tree of 33
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 33
| Number of factors | 4 |
|---|---|
| Sum of factors | 48 |
| Sum of proper factors | 15 |
| Prime factorization | 3 × 11 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 33 interesting
- 33 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
- 33 is a deficient number: its proper factors sum to 15, which is 18 less than 33 itself.
How to find the factors of 33 yourself
Divide 33 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 √33 ≈ 5.74, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 11, 33. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 33.
Frequently asked questions about 33
What are the factors of 33?
Is 33 a prime number?
What is the prime factorization of 33?
What two numbers multiply to give 33?
What is the sum of the factors of 33?
Is 33 a perfect square?
What is the largest factor of 33 other than itself?
How many factors does 33 have?
Explore more
Try another number in the factor calculator, break 33 down further with the prime factorization calculator, or compare 33 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.