Let a, b and c be integers, and let p be a prime. (i) If pa,...

 

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Let a, b and c be integers, and let p be a prime. (i) If pa, then gcd(p, a) = 1. (ii) If a bc and gcd(a, b) = 1, then a | c. (iii) If p | bc, then p | b or p|c (or both 21). Let a, b and c be integers, and let p be a prime. (i) If pa, then gcd(p, a) = 1. (ii) If a bc and gcd(a, b) = 1, then a | c. (iii) If p | bc, then p | b or p|c (or both 21).