Factors of 966

All factors of 966

Here are all 16 factors of 966, listed from smallest to largest.

Factor pairs of 966

These 8 pairs of whole numbers each multiply to give 966.

Prime factorization of 966

Dividing 966 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 966 are 2, 3, 7, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 966

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

Properties of 966

What makes 966 interesting

• 966 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
• 966 is an abundant number: its proper factors sum to 1338, which is 372 more than 966 itself.
• 966 has 4 distinct prime factors (2, 3, 7, 23), which is why it has so many divisors.

How to find the factors of 966 yourself

Divide 966 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 √966 ≈ 31.08, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966. The factor calculator does this automatically for any number.