Factor Calculator

Factors of 264

The factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, and 264. In total, 264 has 16 factors. Its prime factorization is 2³ × 3 × 11, and the sum of all its factors is 720.

All factors of 264

Here are all 16 factors of 264, listed from smallest to largest.

1234681112222433446688132264

Factor pairs of 264

These 8 pairs of whole numbers each multiply to give 264.

1 × 264 = 264
2 × 132 = 264
3 × 88 = 264
4 × 66 = 264
6 × 44 = 264
8 × 33 = 264
11 × 24 = 264
12 × 22 = 264

Prime factorization of 264

Dividing 264 by the smallest prime at each step gives its prime factorization:

264 ÷ 2 = 132
132 ÷ 2 = 66
66 ÷ 2 = 33
33 ÷ 3 = 11
11 ÷ 11 = 1
Result: 264 = 2 × 2 × 2 × 3 × 11 = 2³ × 3 × 11

The distinct prime factors of 264 are 2, 3, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 264

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

Factor tree of 2642642132266233311
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 264

Number of factors16
Sum of factors720
Sum of proper factors456
Prime factorization2³ × 3 × 11
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 264 interesting

  • 264 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.
  • 264 is an abundant number: its proper factors sum to 456, which is 192 more than 264 itself.
  • 264 has 3 distinct prime factors (2, 3, 11), which is why it has so many divisors.

How to find the factors of 264 yourself

Divide 264 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 √264 ≈ 16.25, because every factor above that pairs with one below it.

264 ÷ 1 = 264 ✓
264 ÷ 2 = 132 ✓
264 ÷ 3 = 88 ✓
264 ÷ 4 = 66 ✓
264 ÷ 6 = 44 ✓
264 ÷ 8 = 33 ✓
264 ÷ 11 = 24 ✓
264 ÷ 12 = 22 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264. The factor calculator does this automatically for any number.

Numbers mathematically connected to 264.

Frequently asked questions about 264

What are the factors of 264?

The factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, and 264. That is 16 factors in total, counting both 1 and 264.

Is 264 a prime number?

No, 264 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 264 is also divisible by 2.

What is the prime factorization of 264?

The prime factorization of 264 is 2³ × 3 × 11. Written out in full: 2 × 2 × 2 × 3 × 11 = 264. Its distinct prime factors are 2, 3, 11.

What two numbers multiply to give 264?

There are 8 pairs of whole numbers that multiply to 264: 1 × 264, 2 × 132, 3 × 88, 4 × 66, 6 × 44, 8 × 33, 11 × 24, 12 × 22.

What is the sum of the factors of 264?

Adding all the factors of 264 together gives 720. Excluding 264 itself, the proper factors sum to 456.

Is 264 a perfect square?

No, 264 is not a perfect square. There is no whole number that multiplies by itself to give 264. The nearest perfect squares are 256 and 289.

What is the largest factor of 264 other than itself?

The largest factor of 264 apart from 264 itself is 132, since 264 ÷ 132 = 2.

How many factors does 264 have?

264 has 16 factors: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, and 264. You can verify this from the prime factorization 2³ × 3 × 11: add 1 to each exponent and multiply, giving 4 × 2 × 2 = 16.

Explore more

Try another number in the factor calculator, break 264 down further with the prime factorization calculator, or compare 264 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.