Lucas says that 15 is both a prime number and a composite number.

State whether you agree or disagree with Lucas, and be sure to give a definition of either a prime or composite number to strengthen your argument.

1 answer

I disagree with Lucas. 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, a prime number can only be divided evenly by 1 and the number itself.

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 additional positive integer.

Since 15 has divisors of 1, 3, 5, and 15, it meets the criteria for being a composite number. Therefore, the statement that 15 is both a prime and composite number is incorrect; 15 is a composite number, but it is not a prime number.