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What is the prime factorization of 64?

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To calculate the prime factors of 64 enter a number in the field below and press decompose:

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Answer to the Factorization of 64

The factorization of 64 is equal to 2 × 2 × 2 × 2 x 2. We find these factors by successively dividing 64 by the prime numbers until we obtain the prime factors.

Factor Tree of 64

The prime factor tree of 64 is an illustration that shows how the number 64 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:

	64

2		32

	2		16

		2		8

			2		4

				2		2

Steps to Factor the Number 64

1. Division by Smaller Prime Numbers:

Start by dividing the number 64 by the smallest prime numbers, starting with the smallest prime, which is 2.

64 ÷ 2 = 32

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.

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

3. Obtenção dos Fatores Primos:

Now, the numbers by which you divided 64 and got integer results are the prime factors of 64. In this case, we have 2 repetido 6 vezes.

4. Expressão da Fatoração:

Write the factorization of the number 64 using its prime factors. The full factorization of 64 is:

64 = 2 × 2 × 2 × 2 × 2 × 2

These steps show how the number 64 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.

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