What is the prime factorization of 81?

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To calculate the prime factors of 81 enter a number in the field below and press decompose:

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Answer to the Factorization of 81

The factorization of 81 is equal to 3 × 3 × 3 × 3. We find these factors by successively dividing 81 by the prime numbers until we obtain the prime factors.

Factor Tree of 81

The prime factor tree of 81 is an illustration that shows how the number 81 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:

3 27
3 9
3 3

Steps to Factor the Number 81

1. Division by Smaller Prime Numbers:

As the number 81 é um quadrado perfeito, ele é composto por um único fator primo repetido.

81 = 3 × 3 × 3 × 3

2. Factorization Expression:

Write the factorization of the number 81 using its prime factors. The full factorization of 81 is:

81 = 34

These steps show how the number 81 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties. Neste caso, 81 é um quadrado perfeito de 3 elevado à quarta potência.

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