Final answer:
13 and 41 are prime numbers, while 16 and 27 are composite numbers.
Step-by-step explanation:
a. To determine whether a number is prime or composite, we need to check if it has any factors other than 1 and itself. Let's go through each number:
- 13: It is a prime number because its only factors are 1 and 13.
- 16: It is a composite number because it has other factors besides 1 and 16. For example, it can be divided evenly by 2 and 8.
- 27: It is a composite number because it has factors other than 1 and 27. For instance, it can be divided evenly by 3 and 9.
- 41: It is a prime number because its only factors are 1 and 41.
b. The composite numbers in the given set are 16 and 27, as explained in part a.
Learn more about Prime and composite numbers