Factors of 259

All factors of 259

Here are all 4 factors of 259, listed from smallest to largest.

Factor pairs of 259

These 2 pairs of whole numbers each multiply to give 259.

Prime factorization of 259

Dividing 259 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 259 are 7, 37. To factorize any other number, use the prime factorization calculator.

Factor tree of 259

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

Properties of 259

What makes 259 interesting

• 259 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.
• 259 is a deficient number: its proper factors sum to 45, which is 214 less than 259 itself.

How to find the factors of 259 yourself

Divide 259 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 √259 ≈ 16.09, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 7, 37, 259. The factor calculator does this automatically for any number.