If you mean the product, that's by definition. A composite number has smaller factors. If you multiply two positive integers, none of which is 1, together, then it follows that the product has smaller factors - namely, the numbers you multiplied together.
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Because their product can be divided by the Prime number, the composite number as well as any factors of the composite number.
The sum of any two prime numbers is not always a composite number. The sum of 2 and 11 is 13, and 13 is a prime number, not a composite number.
The product of two prime numbers is always a composite number, and it never is a prime number.
the two prime numbers will be factors of that number, which would make that number a composite number
That is correct.
Not always as for example 20+9 = 29 which is a prime number