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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:
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:
| 9 | |||||||||
| 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.
