Factors of 231

All factors of 231

Here are all 8 factors of 231, listed from smallest to largest.

Factor pairs of 231

These 4 pairs of whole numbers each multiply to give 231.

Prime factorization of 231

Dividing 231 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 231 are 3, 7, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 231

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

Properties of 231

What makes 231 interesting

• 231 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.
• 231 is a deficient number: its proper factors sum to 153, which is 78 less than 231 itself.
• 231 is a triangular number — it is the sum of the first 21 whole numbers (1 + 2 + … + 21 = 231).
• 231 has 3 distinct prime factors (3, 7, 11), which is why it has so many divisors.

How to find the factors of 231 yourself

Divide 231 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 √231 ≈ 15.20, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 3, 7, 11, 21, 33, 77, 231. The factor calculator does this automatically for any number.