Factors of 518

All factors of 518

Here are all 8 factors of 518, listed from smallest to largest.

Factor pairs of 518

These 4 pairs of whole numbers each multiply to give 518.

Prime factorization of 518

Dividing 518 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 518 are 2, 7, 37. To factorize any other number, use the prime factorization calculator.

Factor tree of 518

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

Properties of 518

What makes 518 interesting

• 518 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.
• 518 is a deficient number: its proper factors sum to 394, which is 124 less than 518 itself.
• 518 has 3 distinct prime factors (2, 7, 37), which is why it has so many divisors.

How to find the factors of 518 yourself

Divide 518 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 √518 ≈ 22.76, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 7, 14, 37, 74, 259, 518. The factor calculator does this automatically for any number.