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2. (20 points) Prove the following two statements: a) For every integer n, 72 | n iff 8 | n and 9 | n. b)

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2. (20 points) Prove the following two statements: a) For every integer n, 72 | n iff 8 | n and 9 | n. b) It is not true that for every integer n, 90 | n iff 6 | n and 15 | n

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