# What is the prime factorization of 25?

## How to use the tool

To calculate the prime factors of 25 enter a number in the field below and press decompose:

Enter a number
in the field above

## Answer to the Factorization of 25

The factorization of 25 is equal to 5 × 5. We find these factors by successively dividing 25 by the prime numbers until we obtain the prime factors.

## Factor Tree of 25

The prime factor tree of 25 is an illustration that shows how the number 25 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:

 25 5 5

## Steps to Factor the Number 25

### 1. Obtaining the Prime Factors:

As the number 25 é um quadrado perfeito, ele possui apenas um fator primo repetido duas vezes.

The prime factor of 25 is just 5.

### 2. Factorization Expression:

Write the factorization of the number 25 using its only prime factor. The complete factorization of 25 is:

25 = 5 × 5

These steps show how the number 25 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.