Factors of 8

All factors of 8

Here are all 4 factors of 8, listed from smallest to largest.

Factor pairs of 8

These 2 pairs of whole numbers each multiply to give 8.

Prime factorization of 8

Dividing 8 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 8 are 2. To factorize any other number, use the prime factorization calculator.

Factor tree of 8

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

Properties of 8

What makes 8 interesting

• 8 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
• 8 is a perfect cube: 2 × 2 × 2 = 8.
• 8 is a deficient number: its proper factors sum to 7, which is 1 less than 8 itself.
• 8 appears in the Fibonacci sequence, where each number is the sum of the two before it.
• 8 is a prime power: it is 2 raised to the power of 3. All of its factors are powers of 2.

How to find the factors of 8 yourself

Divide 8 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 √8 ≈ 2.83, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 4, 8. The factor calculator does this automatically for any number.