Question

8. The product of three consecutive numbers is always divisible by 6. Verify this statement
with the help of some examples.​

Answer 1

Answer:

ex let 3 consecutive nos be 4,5,6

their product = 4×5×6 = 120 which is divisible by 6

Step-by-step explanation:

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Answer 2

Answer:

Let the three consecutive numbers be (x), (x+1) and (x+2)

Given that their product is divisible by 6

So,

$\frac{(x) (x+1) (x+2)}{6} = 1 \\ (x) (x+1) (x+2) = 6$

This is in the form ABC = D

So either of A, B or C must be equal to D

• X =6
• When X+1=6 so, x =5
• When X+2 =6 so x=4

Hence the three consecutive numbers are 4,5,6