Factors of 804

All factors of 804

Here are all 12 factors of 804, listed from smallest to largest.

Factor pairs of 804

These 6 pairs of whole numbers each multiply to give 804.

Prime factorization of 804

Dividing 804 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 804 are 2, 3, 67. To factorize any other number, use the prime factorization calculator.

Factor tree of 804

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

Properties of 804

What makes 804 interesting

• 804 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
• 804 is an abundant number: its proper factors sum to 1100, which is 296 more than 804 itself.
• 804 has 3 distinct prime factors (2, 3, 67), which is why it has so many divisors.

How to find the factors of 804 yourself

Divide 804 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 √804 ≈ 28.35, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804. The factor calculator does this automatically for any number.