What is the prime factorization of 25?

How to use the tool

To calculate the prime factors of 25 enter a number in the field below and press decompose:

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Answer to the Factorization of 25

The factorization of 25 is equal to 5 × 5. We find these factors by successively dividing 25 by the prime numbers until we obtain the prime factors.

Factor Tree of 25

The prime factor tree of 25 is an illustration that shows how the number 25 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:

5 5

Steps to Factor the Number 25

1. Obtaining the Prime Factors:

As the number 25 é um quadrado perfeito, ele possui apenas um fator primo repetido duas vezes.

The prime factor of 25 is just 5.

2. Factorization Expression:

Write the factorization of the number 25 using its only prime factor. The complete factorization of 25 is:

25 = 5 × 5

These steps show how the number 25 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.

Links to other factorizations