Factors of 438

All factors of 438

Here are all 8 factors of 438, listed from smallest to largest.

Factor pairs of 438

These 4 pairs of whole numbers each multiply to give 438.

Prime factorization of 438

Dividing 438 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 438 are 2, 3, 73. To factorize any other number, use the prime factorization calculator.

Factor tree of 438

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

Properties of 438

What makes 438 interesting

• 438 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.
• 438 is an abundant number: its proper factors sum to 450, which is 12 more than 438 itself.
• 438 has 3 distinct prime factors (2, 3, 73), which is why it has so many divisors.

How to find the factors of 438 yourself

Divide 438 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 √438 ≈ 20.93, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 6, 73, 146, 219, 438. The factor calculator does this automatically for any number.