Factors of 209

All factors of 209

Here are all 4 factors of 209, listed from smallest to largest.

Factor pairs of 209

These 2 pairs of whole numbers each multiply to give 209.

Prime factorization of 209

Dividing 209 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 209 are 11, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 209

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

Properties of 209

What makes 209 interesting

• 209 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
• 209 is a deficient number: its proper factors sum to 31, which is 178 less than 209 itself.

How to find the factors of 209 yourself

Divide 209 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 √209 ≈ 14.46, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 11, 19, 209. The factor calculator does this automatically for any number.