# What is the prime factorization of 81?

## How to use the tool

To calculate the **prime factors of 81** enter a number in the field below and press decompose:

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## Answer to the Factorization of 81

**The factorization of 81 is equal to 3 × 3 × 3 × 3**. We find these factors by successively dividing 81 by the prime numbers until we obtain the prime factors.

## Factor Tree of 81

The prime factor tree of 81 is an illustration that shows how the number 81 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 81

### 1. Division by Smaller Prime Numbers:

As the number 81 é um quadrado perfeito, ele é composto por um único fator primo repetido.

81 = 3 × 3 × 3 × 3

### 2. Factorization Expression:

Write the factorization of the number 81 using its prime factors. The full factorization of 81 is:

81 = 3^{4}

These steps show how the number 81 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties. Neste caso, 81 é um quadrado perfeito de 3 elevado à quarta potência.

## Links to other factorizations