No, a number cannot be both prime and composite.
To explain further, a prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. In other words, it can only be divided evenly by 1 and the number itself. Examples of prime numbers include 2, 3, 5, and 11.
On the other hand, a composite number is a natural number greater than 1 that has more than two positive divisors. This means it can be divided evenly by 1, the number itself, and at least one other number. For instance, numbers like 4, 6, and 8 are composite because they can be divided by factors other than 1 and themselves.
Since these two categories of numbers are mutually exclusive, a number cannot fall into both. The only exception is the number 1, which is neither prime nor composite. Therefore, a number can only be classified as either prime or composite, but not both.