Factors of 165

All factors of 165

Here are all 8 factors of 165, listed from smallest to largest.

Factor pairs of 165

These 4 pairs of whole numbers each multiply to give 165.

Prime factorization of 165

Dividing 165 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 165 are 3, 5, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 165

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

Properties of 165

What makes 165 interesting

• 165 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.
• 165 is a deficient number: its proper factors sum to 123, which is 42 less than 165 itself.
• 165 has 3 distinct prime factors (3, 5, 11), which is why it has so many divisors.

How to find the factors of 165 yourself

Divide 165 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 √165 ≈ 12.85, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 3, 5, 11, 15, 33, 55, 165. The factor calculator does this automatically for any number.