Question

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

Answer 1

Take a look at

0,1,2,3

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.

Answer 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.