Factor Calculator

Factors of 868

The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, and 868. In total, 868 has 12 factors. Its prime factorization is 2² × 7 × 31, and the sum of all its factors is 1792.

All factors of 868

Here are all 12 factors of 868, listed from smallest to largest.

124714283162124217434868

Factor pairs of 868

These 6 pairs of whole numbers each multiply to give 868.

1 × 868 = 868
2 × 434 = 868
4 × 217 = 868
7 × 124 = 868
14 × 62 = 868
28 × 31 = 868

Prime factorization of 868

Dividing 868 by the smallest prime at each step gives its prime factorization:

868 ÷ 2 = 434
434 ÷ 2 = 217
217 ÷ 7 = 31
31 ÷ 31 = 1
Result: 868 = 2 × 2 × 7 × 31 = 2² × 7 × 31

The distinct prime factors of 868 are 2, 7, 31. To factorize any other number, use the prime factorization calculator.

Factor tree of 868

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

Factor tree of 86886824342217731
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 868

Number of factors12
Sum of factors1792
Sum of proper factors924
Prime factorization2² × 7 × 31
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 868 interesting

  • 868 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.
  • 868 is an abundant number: its proper factors sum to 924, which is 56 more than 868 itself.
  • 868 has 3 distinct prime factors (2, 7, 31), which is why it has so many divisors.

How to find the factors of 868 yourself

Divide 868 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 √86829.46, because every factor above that pairs with one below it.

868 ÷ 1 = 868
868 ÷ 2 = 434
868 ÷ 4 = 217
868 ÷ 7 = 124
868 ÷ 14 = 62
868 ÷ 28 = 31

Reading both columns gives every factor: 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868. The factor calculator does this automatically for any number.

Frequently asked questions about 868

What are the factors of 868?

The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, and 868. That is 12 factors in total, counting both 1 and 868.

Is 868 a prime number?

No, 868 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 868 is also divisible by 2.

What is the prime factorization of 868?

The prime factorization of 868 is 2² × 7 × 31. Written out in full: 2 × 2 × 7 × 31 = 868. Its distinct prime factors are 2, 7, 31.

What two numbers multiply to give 868?

There are 6 pairs of whole numbers that multiply to 868: 1 × 868, 2 × 434, 4 × 217, 7 × 124, 14 × 62, 28 × 31.

What is the sum of the factors of 868?

Adding all the factors of 868 together gives 1792. Excluding 868 itself, the proper factors sum to 924.

Is 868 a perfect square?

No, 868 is not a perfect square. There is no whole number that multiplies by itself to give 868. The nearest perfect squares are 841 and 900.

What is the largest factor of 868 other than itself?

The largest factor of 868 apart from 868 itself is 434, since 868 ÷ 434 = 2.

How many factors does 868 have?

868 has 12 factors: 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, and 868. You can verify this from the prime factorization 2² × 7 × 31: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 868 down further with the prime factorization calculator, or compare 868 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.