Question

Show that the product of any three consecutive even integers is divisible by 48​

Answer 1

Answer:

4 , 6 and 8 are three consecutive even integers .

Product of these numbers is 4 ×6 ×8 = 192

Now, 192 / 48 = 4

4 is an even integer.

So, we can say that the product of 4,6 and 8 is divisible by 48.

Similarly, for all the even consecutive numbers that goes the same .

Therefore, the product of any three consecutive even integers is divisible by 48.