# What is the prime factorization of 46?

## How to use the tool

To calculate the prime factors of 46 enter a number in the field below and press decompose:

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## Answer to the Factorization of 46

The factorization of 46 is equal to 2 × 23. We find these factors by successively dividing 46 by the prime numbers until we obtain the prime factors.

## Factor Tree of 46

The prime factor tree of 46 is an illustration that shows how the number 46 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:

 46 2 23

## Steps to Factor the Number 46

### 1. Division by Smaller Prime Numbers:

Start by dividing the number 46 by the smallest prime numbers, starting with the smallest prime, which is 2.

46 ÷ 2 = 23

### 2. Obtaining Prime Factors:

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

23 é um número primo.

### 3. Factorization Expression:

As the number 23 is a prime number, its only factorization is itself:

46 = 2 × 23

Lamento pela confusão anterior e agradeço por apontar o erro. O número 46 pode ser fatorado em 2 and 23, que são seus fatores primos.