why 2q^2 has 2 as the only even factor
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For iñstance, consider 16 (Perfect square) - number of factors of a PS is always ODD. So, 16 has odd number of factors. but if your question is does every even number have an even factor then the answer is absolutely yes - because every even number is a multiple of 2 and will therefore have 2 as a factor.
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