Multiple Choice Question (MCQ)

The product of two consecutive integers is divisible by

  1. 2

  2. ×


  3. ×


  4. ×


Collected in the board: Number Theory

Steven Zheng posted 1 week ago


  1. Let the first number is 2n, then the next number is 2n+1

    We can see one of the two consecutive integers must be an even number.

    Then, product of them gives the following expression

    2n\cdot(2n+1) = 2n(2n+1)

    which shows the product the two numbers is an even number, hence divisible by 2

    A is the right choice

Steven Zheng posted 1 week ago

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