Factor Calculator

Factors of 330

The factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, and 330. In total, 330 has 16 factors. Its prime factorization is 2 × 3 × 5 × 11, and the sum of all its factors is 864.

All factors of 330

Here are all 16 factors of 330, listed from smallest to largest.

123561011152230335566110165330

Factor pairs of 330

These 8 pairs of whole numbers each multiply to give 330.

1 × 330 = 330
2 × 165 = 330
3 × 110 = 330
5 × 66 = 330
6 × 55 = 330
10 × 33 = 330
11 × 30 = 330
15 × 22 = 330

Prime factorization of 330

Dividing 330 by the smallest prime at each step gives its prime factorization:

330 ÷ 2 = 165
165 ÷ 3 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
Result: 330 = 2 × 3 × 5 × 11 = 2 × 3 × 5 × 11

The distinct prime factors of 330 are 2, 3, 5, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 330

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 3303302165355511
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 330

Number of factors16
Sum of factors864
Sum of proper factors534
Prime factorization2 × 3 × 5 × 11
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 330 interesting

  • 330 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
  • 330 is an abundant number: its proper factors sum to 534, which is 204 more than 330 itself.
  • 330 has 4 distinct prime factors (2, 3, 5, 11), which is why it has so many divisors.

How to find the factors of 330 yourself

Divide 330 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 √330 ≈ 18.17, because every factor above that pairs with one below it.

330 ÷ 1 = 330 ✓
330 ÷ 2 = 165 ✓
330 ÷ 3 = 110 ✓
330 ÷ 5 = 66 ✓
330 ÷ 6 = 55 ✓
330 ÷ 10 = 33 ✓
330 ÷ 11 = 30 ✓
330 ÷ 15 = 22 ✓

Reading both columns gives every factor: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330. The factor calculator does this automatically for any number.

Numbers mathematically connected to 330.

Frequently asked questions about 330

What are the factors of 330?

The factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, and 330. That is 16 factors in total, counting both 1 and 330.

Is 330 a prime number?

No, 330 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 330 is also divisible by 2.

What is the prime factorization of 330?

The prime factorization of 330 is 2 × 3 × 5 × 11. Written out in full: 2 × 3 × 5 × 11 = 330. Its distinct prime factors are 2, 3, 5, 11.

What two numbers multiply to give 330?

There are 8 pairs of whole numbers that multiply to 330: 1 × 330, 2 × 165, 3 × 110, 5 × 66, 6 × 55, 10 × 33, 11 × 30, 15 × 22.

What is the sum of the factors of 330?

Adding all the factors of 330 together gives 864. Excluding 330 itself, the proper factors sum to 534.

Is 330 a perfect square?

No, 330 is not a perfect square. There is no whole number that multiplies by itself to give 330. The nearest perfect squares are 324 and 361.

What is the largest factor of 330 other than itself?

The largest factor of 330 apart from 330 itself is 165, since 330 ÷ 165 = 2.

How many factors does 330 have?

330 has 16 factors: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, and 330. You can verify this from the prime factorization 2 × 3 × 5 × 11: add 1 to each exponent and multiply, giving 2 × 2 × 2 × 2 = 16.

Explore more

Try another number in the factor calculator, break 330 down further with the prime factorization calculator, or compare 330 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.