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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:
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:
| 8 | |||||||||
| 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.
