To find a composite number that is coprime to a given number, we need to first understand what coprime numbers are. Coprime numbers are two numbers that do not have any common factors other than 1. In other words, their greatest common divisor (GCD) is 1.

To find a composite number that is coprime to a given number, we can follow these steps:

Step 1: Identify the prime factorization of the given number.
Step 2: Choose a composite number that does not have any of the prime factors from the prime factorization of the given number.
Step 3: Verify that the chosen composite number is coprime to the given number by checking if their GCD is 1.

Let's solve this problem by finding a composite number that is coprime to 12.

Step 1: Prime factorization of 12
12 can be written as 2 * 2 * 3

Step 2: Choosing a composite number
To find a composite number that is coprime to 12, we need to choose a number that does not have the prime factors 2 and 3. Let's choose 35.

Step 3: Verifying coprimality
To check if 12 and 35 are coprime, we need to find their GCD. Using the Euclidean algorithm, we can calculate the GCD as follows:

GCD(12, 35) = GCD(35, 12) = GCD(12, 11) = GCD(11, 1) = 1

Since the GCD of 12 and 35 is 1, we can conclude that they are coprime.

Therefore, the composite number 35 is coprime to 12.

We can repeat this process for any other given number to find a composite number that is coprime to it. Just make sure to choose a composite number that does not have any prime factors in common with the given number.

Find a composite number that is coprime to the given number 80