Factors of 336

All factors of 336

Here are all 20 factors of 336, listed from smallest to largest.

Factor pairs of 336

These 10 pairs of whole numbers each multiply to give 336.

Prime factorization of 336

Dividing 336 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 336 are 2, 3, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 336

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

Properties of 336

What makes 336 interesting

• 336 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 10 different ways.
• 336 is an abundant number: its proper factors sum to 656, which is 320 more than 336 itself.
• 336 has 3 distinct prime factors (2, 3, 7), which is why it has so many divisors.

How to find the factors of 336 yourself

Divide 336 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 √336 ≈ 18.33, 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, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. The factor calculator does this automatically for any number.