Prove: The product of any three consecutive integers is divisible by 6; the product of

Chapter 2, Problem 18

(choose chapter or problem)

Prove: The product of any three consecutive integers is divisible by 6; the product of anyfour consecutive integers is divisible by 24; the product of any five consecutive integersis divisible by 120.[Hint: See Corollary 2 to Theorem 2.4.]

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