Are the multiples of primes composite or prime?

composite seeing as if a number has more factors than 1 and itself.

If you multiply a Prime number the product will be a composite number. This is because it will have more than two factors as the prime number will be a factor.

Example

The factors of 3 are:

3 : 1,3

3 multiplied by 3 is 9.

The factors of 9 are:

9 : 1,3,9

Multiples of any numbers other than 1 are composite numbers.
The multiples of primes are composite, because they are divisible by the two numbers that were multiplied to make it.