The product of two consecutive positive integ | vedclass

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Question

(B) Let the two consecutive positive integers be $n$ and $n+1$.Their product is $P = n(n+1) = n^2 + n$.Since one of the two consecutive integers must

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(B) Let the two consecutive positive integers be $n$ and $n+1$.Their product is $P = n(n+1) = n^2 + n$.Since one of the two consecutive integers must be even,the product $n(n+1)$ is always an even number.An even number is always divisible by $2$.Therefore,the product of two consecutive positive integers is always divisible by $2$.

The product of two consecutive positive integers is always divisible by which of the following?

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