Factor Calculator

Factors of 871

The factors of 871 are 1, 13, 67, and 871. In total, 871 has 4 factors. Its prime factorization is 13 × 67, and the sum of all its factors is 952.

All factors of 871

Here are all 4 factors of 871, listed from smallest to largest.

11367871

Factor pairs of 871

These 2 pairs of whole numbers each multiply to give 871.

1 × 871 = 871
13 × 67 = 871

Prime factorization of 871

Dividing 871 by the smallest prime at each step gives its prime factorization:

871 ÷ 13 = 67
67 ÷ 67 = 1
Result: 871 = 13 × 67 = 13 × 67

The distinct prime factors of 871 are 13, 67. To factorize any other number, use the prime factorization calculator.

Factor tree of 871

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

Factor tree of 8718711367
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 871

Number of factors4
Sum of factors952
Sum of proper factors81
Prime factorization13 × 67
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 871 interesting

  • 871 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.
  • 871 is a deficient number: its proper factors sum to 81, which is 790 less than 871 itself.

How to find the factors of 871 yourself

Divide 871 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 √871 ≈ 29.51, because every factor above that pairs with one below it.

871 ÷ 1 = 871 ✓
871 ÷ 13 = 67 ✓

Reading both columns gives every factor: 1, 13, 67, 871. The factor calculator does this automatically for any number.

Numbers mathematically connected to 871.

Frequently asked questions about 871

What are the factors of 871?

The factors of 871 are 1, 13, 67, and 871. That is 4 factors in total, counting both 1 and 871.

Is 871 a prime number?

No, 871 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 871 is also divisible by 13.

What is the prime factorization of 871?

The prime factorization of 871 is 13 × 67. Written out in full: 13 × 67 = 871. Its distinct prime factors are 13, 67.

What two numbers multiply to give 871?

There are 2 pairs of whole numbers that multiply to 871: 1 × 871, 13 × 67.

What is the sum of the factors of 871?

Adding all the factors of 871 together gives 952. Excluding 871 itself, the proper factors sum to 81.

Is 871 a perfect square?

No, 871 is not a perfect square. There is no whole number that multiplies by itself to give 871. The nearest perfect squares are 841 and 900.

What is the largest factor of 871 other than itself?

The largest factor of 871 apart from 871 itself is 67, since 871 ÷ 67 = 13.

How many factors does 871 have?

871 has 4 factors: 1, 13, 67, and 871. You can verify this from the prime factorization 13 × 67: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 871 down further with the prime factorization calculator, or compare 871 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.