Factor Calculator

Factors of 876

The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, and 876. In total, 876 has 12 factors. Its prime factorization is 2² × 3 × 73, and the sum of all its factors is 2072.

All factors of 876

Here are all 12 factors of 876, listed from smallest to largest.

123461273146219292438876

Factor pairs of 876

These 6 pairs of whole numbers each multiply to give 876.

1 × 876 = 876
2 × 438 = 876
3 × 292 = 876
4 × 219 = 876
6 × 146 = 876
12 × 73 = 876

Prime factorization of 876

Dividing 876 by the smallest prime at each step gives its prime factorization:

876 ÷ 2 = 438
438 ÷ 2 = 219
219 ÷ 3 = 73
73 ÷ 73 = 1
Result: 876 = 2 × 2 × 3 × 73 = 2² × 3 × 73

The distinct prime factors of 876 are 2, 3, 73. To factorize any other number, use the prime factorization calculator.

Factor tree of 876

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

Factor tree of 87687624382219373
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 876

Number of factors12
Sum of factors2072
Sum of proper factors1196
Prime factorization2² × 3 × 73
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 876 interesting

  • 876 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.
  • 876 is an abundant number: its proper factors sum to 1196, which is 320 more than 876 itself.
  • 876 has 3 distinct prime factors (2, 3, 73), which is why it has so many divisors.

How to find the factors of 876 yourself

Divide 876 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 √87629.60, because every factor above that pairs with one below it.

876 ÷ 1 = 876
876 ÷ 2 = 438
876 ÷ 3 = 292
876 ÷ 4 = 219
876 ÷ 6 = 146
876 ÷ 12 = 73

Reading both columns gives every factor: 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876. The factor calculator does this automatically for any number.

Frequently asked questions about 876

What are the factors of 876?

The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, and 876. That is 12 factors in total, counting both 1 and 876.

Is 876 a prime number?

No, 876 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 876 is also divisible by 2.

What is the prime factorization of 876?

The prime factorization of 876 is 2² × 3 × 73. Written out in full: 2 × 2 × 3 × 73 = 876. Its distinct prime factors are 2, 3, 73.

What two numbers multiply to give 876?

There are 6 pairs of whole numbers that multiply to 876: 1 × 876, 2 × 438, 3 × 292, 4 × 219, 6 × 146, 12 × 73.

What is the sum of the factors of 876?

Adding all the factors of 876 together gives 2072. Excluding 876 itself, the proper factors sum to 1196.

Is 876 a perfect square?

No, 876 is not a perfect square. There is no whole number that multiplies by itself to give 876. The nearest perfect squares are 841 and 900.

What is the largest factor of 876 other than itself?

The largest factor of 876 apart from 876 itself is 438, since 876 ÷ 438 = 2.

How many factors does 876 have?

876 has 12 factors: 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, and 876. You can verify this from the prime factorization 2² × 3 × 73: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 876 down further with the prime factorization calculator, or compare 876 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.