If the product of 4 consecutive integers is equal to one of the integers, what is the largest possible value of one of the integers?

The answer is 3, but I do not understand how it is 3. I tried writing out 4 consecutive #'s such as 1,2,3,4 or 0,1,2,3.
0 x 1 x 2 x 3 = 0

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  1. Take a look at


    Those are 4 consecutive numbers.

    Now lets take the product of them:

    0 * 1 * 2 * 3 = 0

    As you can see, it's equal to one of the integers which is 0

    So that meets the requirement.

    From those set of numbers, 3 is the largest.

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  2. If you tried

    1 2 3 4

    and took the product you would get 24 which doesn't equal one of the above numbers, so this combination wouldn't be correct.

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