What is the prime factorization of 6?

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To calculate the prime factors of 6 enter a number in the field below and press decompose:

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Answer to the Factorization of 6

The factorization of 6 is equal to 2 × 3 . We find these factors by successively dividing 6 by the prime numbers until we obtain the prime factors.

Factor Tree of 6

The prime factor tree of 6 is an illustration that shows how the number 6 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:

6
2 3

Steps to Factor the Number 6

1. Division by Smaller Prime Numbers:

Start by dividing the number 6 by the smallest prime numbers, starting with the smallest prime, which is 2.

6 ÷ 2 = 3

2. Obtaining Prime Factors:

Now, the numbers by which you divided 6 and got integer results are the prime factors of 6. In this case, we have 2 and 3.

3. Factorization Expression:

Write the factorization of the number 6 using its prime factors. The full factorization of 6 is:

6 = 2 × 3

These steps show how the number 6 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.


Links to other factorizations