Prime Factorization of 9
What is the Prime Factorization of 9?
or
Explanation of number 9 Prime Factorization
Prime Factorization of 9 it is expressing 9 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 9.
Since number 9 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 9, we have to iteratively divide 9 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 9:
The smallest Prime Number which can divide 9 without a remainder is 3. So the first calculation step would look like:
9 ÷ 3 = 3
Now we repeat this action until the result equals 1:
3 ÷ 3 = 1
Now we have all the Prime Factors for number 9. It is: 3, 3
Or you may also write it in exponential form: 32
Prime Factor Tree of 9
We may also express the prime factorization of 9 as a Factor Tree:
Related Calculations
See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is number a Prime - Find out whether a given number is Prime or not
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
<a href="https://calculat.io/en/number/prime-factors-of/9">Prime factors of 9 - Calculatio</a>
Prime Factorization Table
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself