Factor Calculator

Factors of 879

The factors of 879 are 1, 3, 293, and 879. In total, 879 has 4 factors. Its prime factorization is 3 × 293, and the sum of all its factors is 1176.

All factors of 879

Here are all 4 factors of 879, listed from smallest to largest.

13293879

Factor pairs of 879

These 2 pairs of whole numbers each multiply to give 879.

1 × 879 = 879
3 × 293 = 879

Prime factorization of 879

Dividing 879 by the smallest prime at each step gives its prime factorization:

879 ÷ 3 = 293
293 ÷ 293 = 1
Result: 879 = 3 × 293 = 3 × 293

The distinct prime factors of 879 are 3, 293. To factorize any other number, use the prime factorization calculator.

Factor tree of 879

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

Factor tree of 8798793293
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 879

Number of factors4
Sum of factors1176
Sum of proper factors297
Prime factorization3 × 293
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 879 interesting

  • 879 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.
  • 879 is a deficient number: its proper factors sum to 297, which is 582 less than 879 itself.

How to find the factors of 879 yourself

Divide 879 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 √87929.65, because every factor above that pairs with one below it.

879 ÷ 1 = 879
879 ÷ 3 = 293

Reading both columns gives every factor: 1, 3, 293, 879. The factor calculator does this automatically for any number.

Frequently asked questions about 879

What are the factors of 879?

The factors of 879 are 1, 3, 293, and 879. That is 4 factors in total, counting both 1 and 879.

Is 879 a prime number?

No, 879 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 879 is also divisible by 3.

What is the prime factorization of 879?

The prime factorization of 879 is 3 × 293. Written out in full: 3 × 293 = 879. Its distinct prime factors are 3, 293.

What two numbers multiply to give 879?

There are 2 pairs of whole numbers that multiply to 879: 1 × 879, 3 × 293.

What is the sum of the factors of 879?

Adding all the factors of 879 together gives 1176. Excluding 879 itself, the proper factors sum to 297.

Is 879 a perfect square?

No, 879 is not a perfect square. There is no whole number that multiplies by itself to give 879. The nearest perfect squares are 841 and 900.

What is the largest factor of 879 other than itself?

The largest factor of 879 apart from 879 itself is 293, since 879 ÷ 293 = 3.

How many factors does 879 have?

879 has 4 factors: 1, 3, 293, and 879. You can verify this from the prime factorization 3 × 293: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 879 down further with the prime factorization calculator, or compare 879 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.