Factors of 506

All factors of 506

Here are all 8 factors of 506, listed from smallest to largest.

Factor pairs of 506

These 4 pairs of whole numbers each multiply to give 506.

Prime factorization of 506

Dividing 506 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 506 are 2, 11, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 506

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

Properties of 506

What makes 506 interesting

• 506 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.
• 506 is a deficient number: its proper factors sum to 358, which is 148 less than 506 itself.
• 506 has 3 distinct prime factors (2, 11, 23), which is why it has so many divisors.

How to find the factors of 506 yourself

Divide 506 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 √506 ≈ 22.49, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 11, 22, 23, 46, 253, 506. The factor calculator does this automatically for any number.