Factors of 805

All factors of 805

Here are all 8 factors of 805, listed from smallest to largest.

Factor pairs of 805

These 4 pairs of whole numbers each multiply to give 805.

Prime factorization of 805

Dividing 805 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 805 are 5, 7, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 805

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

Properties of 805

What makes 805 interesting

• 805 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.
• 805 is a deficient number: its proper factors sum to 347, which is 458 less than 805 itself.
• 805 has 3 distinct prime factors (5, 7, 23), which is why it has so many divisors.

How to find the factors of 805 yourself

Divide 805 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 √805 ≈ 28.37, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 5, 7, 23, 35, 115, 161, 805. The factor calculator does this automatically for any number.