# What is the prime factorization of 35?

## How to use the tool

To calculate the prime factors of 35 enter a number in the field below and press decompose:

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## Answer to the Factorization of 35

The factorization of 35 is equal to 5 × 7. We find these factors by successively dividing 35 by the prime numbers until we obtain the prime factors.

## Factor Tree of 35

The prime factor tree of 35 is an illustration that shows how the number 35 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:

 35 5 7

## Steps to Factor the Number 35

### 1. Division by Smaller Prime Numbers:

Start by dividing the number 35 by the smallest prime numbers, starting with the smallest prime, which is 5.

35 ÷ 5 = 7

### 2. Obtaining Prime Factors:

Agora, o número pelo qual você dividiu 35 e obteve um resultado inteiro é o único fator primo de 35, que é 5.

### 3. Factorization Expression:

Write the factorization of the number 35 usando seu fator primo. A fatoração completa de 35 is:

35 = 5 × 7

These steps show how the number 35 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.