Factor Calculator

Factors of 276

The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, and 276. In total, 276 has 12 factors. Its prime factorization is 2² × 3 × 23, and the sum of all its factors is 672.

All factors of 276

Here are all 12 factors of 276, listed from smallest to largest.

123461223466992138276

Factor pairs of 276

These 6 pairs of whole numbers each multiply to give 276.

1 × 276 = 276
2 × 138 = 276
3 × 92 = 276
4 × 69 = 276
6 × 46 = 276
12 × 23 = 276

Prime factorization of 276

Dividing 276 by the smallest prime at each step gives its prime factorization:

276 ÷ 2 = 138
138 ÷ 2 = 69
69 ÷ 3 = 23
23 ÷ 23 = 1
Result: 276 = 2 × 2 × 3 × 23 = 2² × 3 × 23

The distinct prime factors of 276 are 2, 3, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 276

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

Factor tree of 2762762138269323
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 276

Number of factors12
Sum of factors672
Sum of proper factors396
Prime factorization2² × 3 × 23
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 276 interesting

  • 276 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 276 is an abundant number: its proper factors sum to 396, which is 120 more than 276 itself.
  • 276 is a triangular number — it is the sum of the first 23 whole numbers (1 + 2 + … + 23 = 276).
  • 276 has 3 distinct prime factors (2, 3, 23), which is why it has so many divisors.

How to find the factors of 276 yourself

Divide 276 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 √27616.61, because every factor above that pairs with one below it.

276 ÷ 1 = 276
276 ÷ 2 = 138
276 ÷ 3 = 92
276 ÷ 4 = 69
276 ÷ 6 = 46
276 ÷ 12 = 23

Reading both columns gives every factor: 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276. The factor calculator does this automatically for any number.

Frequently asked questions about 276

What are the factors of 276?

The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, and 276. That is 12 factors in total, counting both 1 and 276.

Is 276 a prime number?

No, 276 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 276 is also divisible by 2.

What is the prime factorization of 276?

The prime factorization of 276 is 2² × 3 × 23. Written out in full: 2 × 2 × 3 × 23 = 276. Its distinct prime factors are 2, 3, 23.

What two numbers multiply to give 276?

There are 6 pairs of whole numbers that multiply to 276: 1 × 276, 2 × 138, 3 × 92, 4 × 69, 6 × 46, 12 × 23.

What is the sum of the factors of 276?

Adding all the factors of 276 together gives 672. Excluding 276 itself, the proper factors sum to 396.

Is 276 a perfect square?

No, 276 is not a perfect square. There is no whole number that multiplies by itself to give 276. The nearest perfect squares are 256 and 289.

What is the largest factor of 276 other than itself?

The largest factor of 276 apart from 276 itself is 138, since 276 ÷ 138 = 2.

How many factors does 276 have?

276 has 12 factors: 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, and 276. You can verify this from the prime factorization 2² × 3 × 23: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 276 down further with the prime factorization calculator, or compare 276 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.