is divisible by both and . It is also divisible by . Similarly, a number is divisible by both and . Can we say that the number must also be divisible by If not give an example to justify the answer.
Step 1: Understanding the property of divisibility.
If a number is divisible by two co-prime numbers, then it is divisible by their product also.
The numbers and are co prime numbers, if is divisible by both and , it is also divisible by .
Step 2: Check the divisibility of a number by and .
Consider a number .
is divisible by both and , but it is not divisible by their product .
Also, and are not co-prime numbers.
Hence, the answer is justified.