# What is the prime factorization of 300?

## How to use the tool

To calculate the **prime factors of 300** enter a number in the field below and press decompose:

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## Answer to the Factorization of 300

**The factorization of 300 is equal to 2 × 2 × 3 × 5 × 5**. We find these factors by successively dividing 300 by the prime numbers until we obtain the prime factors.

## Factor Tree of 300

The prime factor tree of 300 is an illustration that shows how the number 300 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 300

### 1. Division by Smaller Prime Numbers:

Start by dividing the number 300 by the smallest prime numbers, starting with the smallest prime, which is 2.

300 ÷ 2 = 150

### 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.

150 ÷ 2 = 75

75 ÷ 3 = 25

25 ÷ 5 = 5

### 3. Obtenção dos Fatores Primos:

Now, the numbers by which you divided 300 and got integer results are the prime factors of 300. In this case, we have 2, 2, 3, 5 and 5.

### 4. Expressão da Fatoração:

Write the factorization of the number 300 using its prime factors. The full factorization of 300 is:

300 = 2 × 2 × 3 × 5 × 5

These steps show how the number 300 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.

## Links to other factorizations