What is the prime factorization of 26?

How to use the tool

To calculate the prime factors of 26 enter a number in the field below and press decompose:

Enter a number
in the field above

Answer to the Factorization of 26

The factorization of 26 is equal to 2 × 13. We find these factors by successively dividing 26 by the prime numbers until we obtain the prime factors.

Factor Tree of 26

The prime factor tree of 26 is an illustration that shows how the number 26 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 13

Steps to Factor the Number 26

1. Division by Smaller Prime Numbers:

Start by dividing the number 26 by the smallest prime numbers, starting with the smallest prime, which is 2.

26 ÷ 2 = 13

2. Obtaining Prime Factors:

Agora, o número pelo qual você dividiu 26 e obteve um resultado inteiro é o único fator primo de 26, que é 2.

3. Factorization Expression:

Write the factorization of the number 26 usando seu fator primo. A fatoração completa de 26 is:

26 = 2 × 13

These steps show how the number 26 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.

Links to other factorizations