Question

The product of two consecutive natural numbers is always ______

(A) An even number (B) An odd number (C) A prime number (D) Divisible by 3

Answer 1

The correct option is: (A) An even number
Explanation:
Let \(n\) be a natural number, then \((n+1)\) will be a consecutive natural number.
\(\Rightarrow\) Their product \(=n(n+1)\)
So, the product would always be an even number.
If \(n\) is odd, then \(n-1\) would be even, their product is even.
If \(n\) is even, then \(n-1\) would be odd, again their product is even.