# What is the prime factorization of 31?

## How to use the tool

To calculate the **prime factors of 31** enter a number in the field below and press decompose:

Enter a number

in the field above

## Answer to the Factorization of 31

**The factorization of 31 is equal to 31**, because this is a prime number.

## Factor Tree of 31

The prime factor tree of 31 is an illustration that shows how the number 31 is decomposed into its fundamental prime factors, as 2, 3 and 5. This visual representation helps you understand the underlying structure of the number and how it is formed from smaller prime numbers.

Look at the following tree:

## Steps to Factor the Number 31

### 1. Division by Smaller Prime Numbers:

The number 31 is a prime number, which means it is only divisible by 1 and itself.

### 2. Obtaining Prime Factors:

As the number 31 is a prime number, its only factorization is itself:

31 = 31

This means that 31 cannot be factorized into smaller prime numbers as it itself is a prime number.

## Links to other factorizations