The product of three consecutive positive

Question:

The product of three consecutive positive integers is divisible by 6′ Is this statement true or false? Justify your answer

Solution:

yes, three consecutive integers can be n, (n + 1)and (n + 2).

So, one number of these three must be divisible by 2 and another one must be divisible by 3. Hence,

product of numbers is divisible by 6.

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