Prime Factorization of 108
What is the Prime Factorization of 108?
Answer
or
Explanation of number 108 Prime Factorization
Prime Factorization of 108 is expressing 108 as the product of prime factors. In other words, it is finding which prime numbers should be multiplied together to make 108.
Since number 108 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 108, we have to iteratively divide 108 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 108:
The smallest Prime Number which can divide 108 without a remainder is 2. So the first calculation step would look like:
108 ÷ 2 = 54
Now we repeat this action until the result equals 1:
54 ÷ 2 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Now we have all the Prime Factors for number 108. It is: 2, 2, 3, 3, 3
Or you may also write it in exponential form: 22 × 33
Prime Factor Tree of 108
We may also express the prime factorization of 108 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