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Secondary 1 | Maths
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...will not make it a prime number since we have k repetitions of it. This results in k also being a factor of the result.
In this case, q is added to itself three further times, so there is a total of four 'q's, so 4 is also a factor of the expression (and in fact, 2 is also a factor).
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Another way would be to say because q were to be multiplied by an even number, and thus it became an even number greater than 2, thus it is even and it must be composite :D