13 is a Prime number because it can only be divided by 1 and itself.
A composite number can be divided by more than 1 and itself. For example, 14 can be divided by 1,14,2,7,3, and 4.
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Composite, because it is divisible by other numbers that 1 and itself.
It is not prime because it is divisible not by 1 and itself, but only 1 or itself. The definition of prime is divisible by 1 and itself. It is not composite because it is not divisible by an whole number other than 1.
31 is a prime number because it is only divisible by 1 and itself. If it was divisible by any other number besides 1 and itself, then it would be a composite number.
63 is a composite number because it is divisible by 3 and 21 in addition to 1 and itself.
83 is a prime number because it is only divisible by 1 and itself (83) if would be composite if it were divisible by any other number.