Factors of 58

All factors of 58

Here are all 4 factors of 58, listed from smallest to largest.

Factor pairs of 58

These 2 pairs of whole numbers each multiply to give 58.

Prime factorization of 58

Dividing 58 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 58 are 2, 29. To factorize any other number, use the prime factorization calculator.

Factor tree of 58

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

Properties of 58

What makes 58 interesting

• 58 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
• 58 is a deficient number: its proper factors sum to 32, which is 26 less than 58 itself.

How to find the factors of 58 yourself

Divide 58 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 √58 ≈ 7.62, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 29, 58. The factor calculator does this automatically for any number.