Factors of 171

All factors of 171

Here are all 6 factors of 171, listed from smallest to largest.

Factor pairs of 171

These 3 pairs of whole numbers each multiply to give 171.

Prime factorization of 171

Dividing 171 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 171 are 3, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 171

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

Properties of 171

What makes 171 interesting

• 171 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
• 171 is a deficient number: its proper factors sum to 89, which is 82 less than 171 itself.
• 171 is a triangular number — it is the sum of the first 18 whole numbers (1 + 2 + … + 18 = 171).

How to find the factors of 171 yourself

Divide 171 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 √171 ≈ 13.08, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 3, 9, 19, 57, 171. The factor calculator does this automatically for any number.