Prime numbers are numbers with only two factors. Composite numbers are numbers with more than two factors.
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Prime designates numbers with exactly two factors. Composite designates numbers with more than two factors.
The product of two prime numbers will be composite.
Products of prime numbers are composite numbers.
The opposite of prime numbers are composite numbers.
Composite numbers have more than two factors. So, the numbers which have two or less than two factors are not composite numbers. Numbers which have exactly two factors are prime numbers. 1 is an exceptional case because it is neither prime nor composite since it has only one factor which is 1.