What is the prime factorization of 8?

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To calculate the prime factors of 8 enter a number in the field below and press decompose:

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Answer to the Factorization of 8

The factorization of 8 is equal to 2 × 2 × 2. We find these factors by successively dividing 8 by the prime numbers until we obtain the prime factors.

Factor Tree of 8

The prime factor tree of 8 is an illustration that shows how the number 8 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:

2 4
2 2

Steps to Factor the Number 8

1. Division by Smaller Prime Numbers:

Start by dividing the number 8 by the smallest prime numbers, starting with the smallest prime, which is 2.

8 ÷ 2 = 4

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.

4 ÷ 2 = 2

3. Obtenção dos Fatores Primos:

Now, the numbers by which you divided 8 and got integer results are the prime factors of 8. In this case, we have 2, 2 and 2.

4. Expressão da Fatoração:

Write the factorization of the number 8 using its prime factors. The full factorization of 8 is:

8 = 2 × 2 × 2

These steps show how the number 8 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.

Links to other factorizations