Factors of 138

All factors of 138

Here are all 8 factors of 138, listed from smallest to largest.

Factor pairs of 138

These 4 pairs of whole numbers each multiply to give 138.

Prime factorization of 138

Dividing 138 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 138 are 2, 3, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 138

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

Properties of 138

What makes 138 interesting

• 138 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
• 138 is an abundant number: its proper factors sum to 150, which is 12 more than 138 itself.
• 138 has 3 distinct prime factors (2, 3, 23), which is why it has so many divisors.

How to find the factors of 138 yourself

Divide 138 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 √138 ≈ 11.75, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 6, 23, 46, 69, 138. The factor calculator does this automatically for any number.