
To calculate: The prime factors of the number 81 and state whether it is prime or not.

Answer to Problem 11OE
The number 81 is not aprime number. The prime factorization is
Explanation of Solution
Given information:
The number 81.
Calculation:
Consider the provided number 81.
Recall that factors of a number are those numbers which when multiplied together result in that number.
A number is said to be a prime number if the factors of the number are 1 and the number itself.
81 is written as product of 3 and 27 that is
Since, 27 is not prime number factorize 27 further,
Now, again 9 is not a prime number, so factorize it again,
No further factorization is possible since 3 is a prime number.
Thus, the number 81 is not a prime number. The prime factorization is
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