Is 83 prime or composite?

To determine whether 83 is a prime or composite number, we need to understand the definitions:

A prime number is a number greater than 1 that has no divisors other than 1 and itself.
A composite number is a number greater than 1 that has divisors other than 1 and itself.
Now, let's check if 83 is divisible by any number other than 1 and 83. To do this, we can check divisibility by prime numbers less than or equal to the square root of 83. The square root of 83 is approximately 9.11, so we need to check divisibility by the primes 2, 3, 5, and 7.

Divisibility by 2: 83 is an odd number, so it is not divisible by 2.
Divisibility by 3: The sum of the digits of 83 is 8 + 3 = 11. Since 11 is not divisible by 3, 83 is not divisible by 3.
Divisibility by 5: 83 does not end in 0 or 5, so it is not divisible by 5.
Divisibility by 7: Dividing 83 by 7 gives approximately 11.86, which is not an integer. Therefore, 83 is not divisible by 7.
Since 83 is not divisible by any prime number less than or equal to the square root of 83, we conclude that 83 is a prime number.

Answer: 83 is a prime number.