Factors of 168

All factors of 168

Here are all 16 factors of 168, listed from smallest to largest.

Factor pairs of 168

These 8 pairs of whole numbers each multiply to give 168.

Prime factorization of 168

Dividing 168 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 168 are 2, 3, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 168

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

Properties of 168

What makes 168 interesting

• 168 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.
• 168 is an abundant number: its proper factors sum to 312, which is 144 more than 168 itself.
• 168 has 3 distinct prime factors (2, 3, 7), which is why it has so many divisors.

How to find the factors of 168 yourself

Divide 168 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 √168 ≈ 12.96, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168. The factor calculator does this automatically for any number.