Factors of 987

All factors of 987

Here are all 8 factors of 987, listed from smallest to largest.

Factor pairs of 987

These 4 pairs of whole numbers each multiply to give 987.

Prime factorization of 987

Dividing 987 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 987 are 3, 7, 47. To factorize any other number, use the prime factorization calculator.

Factor tree of 987

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

Properties of 987

What makes 987 interesting

• 987 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
• 987 is a deficient number: its proper factors sum to 549, which is 438 less than 987 itself.
• 987 appears in the Fibonacci sequence, where each number is the sum of the two before it.
• 987 has 3 distinct prime factors (3, 7, 47), which is why it has so many divisors.

How to find the factors of 987 yourself

Divide 987 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 √987 ≈ 31.42, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 3, 7, 21, 47, 141, 329, 987. The factor calculator does this automatically for any number.