Factors of 120

All factors of 120

Here are all 16 factors of 120, listed from smallest to largest.

Factor pairs of 120

These 8 pairs of whole numbers each multiply to give 120.

Prime factorization of 120

Dividing 120 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 120 are 2, 3, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 120

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

Properties of 120

What makes 120 interesting

• 120 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.
• 120 is an abundant number: its proper factors sum to 240, which is 120 more than 120 itself.
• 120 is a highly composite number — it has more factors (16) than any smaller positive integer. Numbers like this are useful in measurement systems because they divide evenly so many ways.
• 120 is a triangular number — it is the sum of the first 15 whole numbers (1 + 2 + … + 15 = 120).
• 120 has 3 distinct prime factors (2, 3, 5), which is why it has so many divisors.

How to find the factors of 120 yourself

Divide 120 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 √120 ≈ 10.95, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. The factor calculator does this automatically for any number.