Prime Factorization of 12
What is the Prime Factorization of 12?
Answer
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Explanation of number 12 Prime Factorization
Prime Factorization of 12 is expressing 12 as the product of prime factors. In other words, it is finding which prime numbers should be multiplied together to make 12.
Since number 12 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 12, we have to iteratively divide 12 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 12:
The smallest Prime Number which can divide 12 without a remainder is 2. So the first calculation step would look like:
12 ÷ 2 = 6
Now we repeat this action until the result equals 1:
6 ÷ 2 = 3
3 ÷ 3 = 1
Now we have all the Prime Factors for number 12. It is: 2, 2, 3
Or you may also write it in exponential form: 22 × 3
Prime Factor Tree of 12
We may also express the prime factorization of 12 as a Factor Tree:
Related Calculations
See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is a Number 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
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Prime Factorization Table
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself