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Product of a Prime number and a composite number results in a composite number.

Now consider the product of a composite number(a) and a prime number(b) is equal to c.

i.e. c = a x b

It is clear that c is divisible by both a and b.

Also c is divisible by itself and 1, this means that c has more than two factors.

A number having more than two factors is composite, therefore product of a prime number and a composite number results in a composite number.

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Q: When you multiply a prime and a composite number do you always get a composite number?
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