Question

2
2. Prove that the product of two consecutive positive integers is divisible by 2.
3. Prove that the product of three consecutive positive integer is divisible by 6.
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Answer 1

It can be Proved

With the help of Numbers you can prove it

2. Take Consecutive Positive Integers as 2,3

Then Product = 2×3= 6 which is divisible by 2

Take numbers 3,4 Then Product = 12 which is divisible by 2 so you can take any 2 consecutive numbers and Multiply it you will get result which is divisible by 2

3. Take Consecutive Positive Integers as 2,3,4

Product = 2×3×4 = 24 which is divisible by 6

Take one more example: 3,4,5

Product = 60 which is divisible by 6

So I have proved it . I hope that you understood.

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