# What is the prime factorization of 210?

## How to use the tool

To calculate the **prime factors of 210** enter a number in the field below and press decompose:

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## Answer to the Factorization of 210

**The factorization of 210 is equal to 2 × 3 × 5 × 7 **. We find these factors by successively dividing 210 by the prime numbers until we obtain the prime factors.

## Factor Tree of 210

The prime factor tree of 210 is an illustration that shows how the number 210 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 210

### 1. Division by Smaller Prime Numbers:

Start by dividing the number 210 by the smallest prime numbers, starting with the smallest prime, which is 2.

210 ÷ 2 = 105

### 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.

105 ÷ 3 = 35

35 ÷ 5 = 7

### 3. Obtenção dos Fatores Primos:

Now, the numbers by which you divided 210 and got integer results are the prime factors of 210. In this case, we have 2, 3, 5 and 7.

### 4. Expressão da Fatoração:

Write the factorization of the number 210 using its prime factors. The full factorization of 210 is:

210 = 2 × 3 × 5 × 7

These steps show how the number 210 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.

## Links to other factorizations