State which of the following statements are true and which are false. Justify your answer. \( \m...

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State which of the following statements are true and which are false. Justify your answer.
\( \mathrm{P} \)
(i) \( 35 \in\{x \mid x \) has exactly four positive factors \( \} \).
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(ii) \( 128 \in\{y \mid \) the sum of all the positive factors of \( y \) is \( 2 y\} \)
(iii) \( 3 \notin\left\{x \mid x^{4}-5 x^{3}+2 x^{2}-112 x+6=0\right\} \)
(iv) \( 496 \notin\{y \mid \) the sum of all the positive factors of \( y \) is \( 2 y\} \).
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