Prime Factorization of 81
What is the Prime Factorization of 81?
or
Explanation of number 81 Prime Factorization
Prime Factorization of 81 it is expressing 81 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 81.
Since number 81 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 81, we have to iteratively divide 81 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 81:
The smallest Prime Number which can divide 81 without a remainder is 3. So the first calculation step would look like:
81 ÷ 3 = 27
Now we repeat this action until the result equals 1:
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Now we have all the Prime Factors for number 81. It is: 3, 3, 3, 3
Or you may also write it in exponential form: 34
Prime Factor Tree of 81
We may also express the prime factorization of 81 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
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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