Question 14 - Figure it out - Page 132, 133, 134 - Chapter 5 Class 8 - Number Play (Ganita Prakash)

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Question 14 Is the product of two consecutive integers always multiple of 2? Why? What about the product of these consecutive integers? Is it always a multiple of 6? Why or why not? What can you say about the product of 4 consecutive integers? What about the product of five consecutive integers?2 consecutive integers: One is always even. Product is divisible by 2? Yes, Always. Example: 4, 5 Product = 4 × 5 = 20 is divisible by 2 3 consecutive integers: At least one is even and one is a multiple of 3 . Product is divisible by 2 × 3 = 6? Yes, Always. Example: 4, 5, 6 Product = 4 × 5 × 6 = 120 is divisible by 6 4 consecutive integers: Product is divisible by 4 × 3 × 2 × 1 = 24 Example: 4, 5, 6, 7 Product = 4 × 5 × 6 × 7 = 840 is divisible by 24 5 consecutive integers: Product is divisible by 5 × 4 × 3 × 2 × 1 = 120 Example: 4, 5, 6, 7, 8 Product = 4 × 5 × 6 × 7 = 6720 is divisible by 120