What is the prime factorization of 9?

How to use the tool

To calculate the prime factors of 9 enter a number in the field below and press decompose:

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Answer to the Factorization of 9

The factorization of 9 is equal to 3 × 3. We find these factors by successively dividing 9 by the prime numbers until we obtain the prime factors.

Factor Tree of 9

The prime factor tree of 9 is an illustration that shows how the number 9 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 3

Steps to Factor the Number 9

1. Division by Smaller Prime Numbers:

Start by dividing the number 9 by the smallest prime numbers, starting with the smallest prime, which is 3.

9 ÷ 3 = 3

2. Obtaining Prime Factors:

Now, the numbers by which you divided 9 and got integer results are the prime factors of 9. In this case, we have 3 and 3.

3. Factorization Expression:

Write the factorization of the number 9 using its prime factors. The full factorization of 9 is:

9 = 3 × 3

These steps show how the number 9 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.

Links to other factorizations