Factors of 301

All factors of 301

Here are all 4 factors of 301, listed from smallest to largest.

Factor pairs of 301

These 2 pairs of whole numbers each multiply to give 301.

Prime factorization of 301

Dividing 301 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 301 are 7, 43. To factorize any other number, use the prime factorization calculator.

Factor tree of 301

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

Properties of 301

What makes 301 interesting

• 301 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.
• 301 is a deficient number: its proper factors sum to 51, which is 250 less than 301 itself.

How to find the factors of 301 yourself

Divide 301 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 √301 ≈ 17.35, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 7, 43, 301. The factor calculator does this automatically for any number.