Factors of 528

All factors of 528

Here are all 20 factors of 528, listed from smallest to largest.

Factor pairs of 528

These 10 pairs of whole numbers each multiply to give 528.

Prime factorization of 528

Dividing 528 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 528 are 2, 3, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 528

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

Properties of 528

What makes 528 interesting

• 528 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 10 different ways.
• 528 is an abundant number: its proper factors sum to 960, which is 432 more than 528 itself.
• 528 is a triangular number — it is the sum of the first 32 whole numbers (1 + 2 + … + 32 = 528).
• 528 has 3 distinct prime factors (2, 3, 11), which is why it has so many divisors.

How to find the factors of 528 yourself

Divide 528 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 √528 ≈ 22.98, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528. The factor calculator does this automatically for any number.