Factors of 238

All factors of 238

Here are all 8 factors of 238, listed from smallest to largest.

Factor pairs of 238

These 4 pairs of whole numbers each multiply to give 238.

Prime factorization of 238

Dividing 238 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 238 are 2, 7, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 238

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

Properties of 238

What makes 238 interesting

• 238 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.
• 238 is a deficient number: its proper factors sum to 194, which is 44 less than 238 itself.
• 238 has 3 distinct prime factors (2, 7, 17), which is why it has so many divisors.

How to find the factors of 238 yourself

Divide 238 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 √238 ≈ 15.43, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 7, 14, 17, 34, 119, 238. The factor calculator does this automatically for any number.