# What is the prime factorization of 54?

## How to use the tool

To calculate the **prime factors of 54** enter a number in the field below and press decompose:

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## Answer to the Factorization of 54

**The factorization of 54 is equal to 2 × 3 × 3 × 3**. We find these factors by successively dividing 54 by the prime numbers until we obtain the prime factors.

## Factor Tree of 54

The prime factor tree of 54 is an illustration that shows how the number 54 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 54

### 1. Division by Smaller Prime Numbers:

Start by dividing the number 54 by the smallest prime numbers, starting with the smallest prime, which is 2.

54 ÷ 2 = 27

### 2. Continuação das Divisões:

Agora, continue dividindo o resultado da etapa anterior por números primos menores, até que não seja mais possível fazer divisões inteiras.

27 ÷ 3 = 9

9 ÷ 3 = 3

### 3. Obtenção dos Fatores Primos:

Now, the numbers by which you divided 54 and got integer results are the prime factors of 54. In this case, we have 2, 3 and 3.

### 4. Expressão da Fatoração:

Write the factorization of the number 54 using its prime factors. The full factorization of 54 is:

54 = 2 × 3 × 3 × 3

These steps show how the number 54 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.

## Links to other factorizations