Factors of 672

All factors of 672

Here are all 24 factors of 672, listed from smallest to largest.

Factor pairs of 672

These 12 pairs of whole numbers each multiply to give 672.

Prime factorization of 672

Dividing 672 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 672 are 2, 3, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 672

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

Properties of 672

What makes 672 interesting

• 672 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 12 different ways.
• 672 is an abundant number: its proper factors sum to 1344, which is 672 more than 672 itself.
• 672 has 3 distinct prime factors (2, 3, 7), which is why it has so many divisors.

How to find the factors of 672 yourself

Divide 672 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 √672 ≈ 25.92, 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, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672. The factor calculator does this automatically for any number.