Factors of 87

All factors of 87

Here are all 4 factors of 87, listed from smallest to largest.

Factor pairs of 87

These 2 pairs of whole numbers each multiply to give 87.

Prime factorization of 87

Dividing 87 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 87 are 3, 29. To factorize any other number, use the prime factorization calculator.

Factor tree of 87

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

Properties of 87

What makes 87 interesting

• 87 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.
• 87 is a deficient number: its proper factors sum to 33, which is 54 less than 87 itself.

How to find the factors of 87 yourself

Divide 87 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 √87 ≈ 9.33, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 3, 29, 87. The factor calculator does this automatically for any number.