Consider the numbers 13, 16, 27, and 41.%C2%A0 a.%C2%A0%C2%A0 %C2%A0Which of these numbers are prime? How do you know? b.%C2%A0%C2%A0 %C2%A0Which of these numbers are composite? How do you know?(2 points)
a. To determine if a number is prime, we need to check if it is divisible by any number other than 1 and itself.
- The number 13 does not have any divisors other than 1 and itself, so it is prime.
- The number 16 is divisible by 2, so it is not prime.
- The number 27 is divisible by 3 and 9, so it is not prime.
- The number 41 does not have any divisors other than 1 and itself, so it is prime.
Therefore, the prime numbers in the given set are 13 and 41.
b. Composite numbers are those that have at least one divisor other than 1 and itself.
- The number 13 is not divisible by any number other than 1 and itself, so it is not composite.
- The number 16 is divisible by 2, so it is composite.
- The number 27 is divisible by 3 and 9, so it is composite.
- The number 41 is not divisible by any number other than 1 and itself, so it is not composite.
Therefore, the composite numbers in the given set are 16 and 27.