# What is the prime factorization of 22?

## How to use the tool

To calculate the prime factors of 22 enter a number in the field below and press decompose:

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## Answer to the Factorization of 22

The factorization of 22 is equal to 2 × 11. We find these factors by successively dividing 22 by the prime numbers until we obtain the prime factors.

## Factor Tree of 22

The prime factor tree of 22 is an illustration that shows how the number 22 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:

 22 2 11

## Steps to Factor the Number 22

### 1. Division by Smaller Prime Numbers:

Start by dividing the number 22 by the smallest prime numbers, starting with the smallest prime, which is 2.

22 ÷ 2 = 11

### 2. Obtaining Prime Factors:

Now, the numbers by which you divided 22 and got integer results are the prime factors of 22. In this case, we have apenas o próprio número 22 and o número primo 11.

### 3. Factorization Expression:

Write the factorization of the number 22 using its prime factors. The full factorization of 22 is:

22 = 2 × 11

These steps show how the number 22 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.