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# Can a multiple of a prime number be prime?

Updated: 11/3/2022

Wiki User

12y ago

No.

Let p1 be a Prime number.

Let p2 be a multiple of p1 such that p2 = p1 * k.

Then the factors of p2 are: 1, p1, k and p2.

==> p2 is not a prime number.

Hence, a multiple of a prime number cannot be a prime number.

Wiki User

12y ago

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