Factors of 728

All factors of 728

Here are all 16 factors of 728, listed from smallest to largest.

Factor pairs of 728

These 8 pairs of whole numbers each multiply to give 728.

Prime factorization of 728

Dividing 728 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 728 are 2, 7, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 728

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

Properties of 728

What makes 728 interesting

• 728 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
• 728 is an abundant number: its proper factors sum to 952, which is 224 more than 728 itself.
• 728 has 3 distinct prime factors (2, 7, 13), which is why it has so many divisors.

How to find the factors of 728 yourself

Divide 728 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 √728 ≈ 26.98, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728. The factor calculator does this automatically for any number.