Factor Calculator

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.

131133

Factor pairs of 33

These 2 pairs of whole numbers each multiply to give 33.

1 × 33 = 33
3 × 11 = 33

Prime factorization of 33

Dividing 33 by the smallest prime at each step gives its prime factorization:

33 ÷ 3 = 11
11 ÷ 11 = 1
Result: 33 = 3 × 11 = 3 × 11

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.

Factor tree of 3333311
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 33

Number of factors4
Sum of factors48
Sum of proper factors15
Prime factorization3 × 11
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

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 √335.74, because every factor above that pairs with one below it.

33 ÷ 1 = 33
33 ÷ 3 = 11

Reading both columns gives every factor: 1, 3, 11, 33. The factor calculator does this automatically for any number.

Frequently asked questions about 33

What are the factors of 33?

The factors of 33 are 1, 3, 11, and 33. That is 4 factors in total, counting both 1 and 33.

Is 33 a prime number?

No, 33 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 33 is also divisible by 3.

What is the prime factorization of 33?

The prime factorization of 33 is 3 × 11. Written out in full: 3 × 11 = 33. Its distinct prime factors are 3, 11.

What two numbers multiply to give 33?

There are 2 pairs of whole numbers that multiply to 33: 1 × 33, 3 × 11.

What is the sum of the factors of 33?

Adding all the factors of 33 together gives 48. Excluding 33 itself, the proper factors sum to 15.

Is 33 a perfect square?

No, 33 is not a perfect square. There is no whole number that multiplies by itself to give 33. The nearest perfect squares are 25 and 36.

What is the largest factor of 33 other than itself?

The largest factor of 33 apart from 33 itself is 11, since 33 ÷ 11 = 3.

How many factors does 33 have?

33 has 4 factors: 1, 3, 11, and 33. You can verify this from the prime factorization 3 × 11: add 1 to each exponent and multiply, giving 2 × 2 = 4.

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.