Factors of 300

All factors of 300

Here are all 18 factors of 300, listed from smallest to largest.

Factor pairs of 300

These 9 pairs of whole numbers each multiply to give 300.

Prime factorization of 300

Dividing 300 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 300 are 2, 3, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 300

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

Properties of 300

What makes 300 interesting

• 300 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 9 different ways.
• 300 is an abundant number: its proper factors sum to 568, which is 268 more than 300 itself.
• 300 is a triangular number — it is the sum of the first 24 whole numbers (1 + 2 + … + 24 = 300).
• 300 has 3 distinct prime factors (2, 3, 5), which is why it has so many divisors.

How to find the factors of 300 yourself

Divide 300 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 √300 ≈ 17.32, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300. The factor calculator does this automatically for any number.