Question

18 is divisible by both 2 and 3. It is also divisible by 2 x 3 = 6. Similarly, a number is divisible by both 4 and 6. Can we say that the number must also be divisible by 4 x 6 = 24? If not, give an example to justify your answer.

Answer 1

Answer:

no because 2 and 3 r prime nos but 4 and 6 are not prime no

for example 12 is divisible by 4 and 6 but not divisible by 24

Answer 2

18 is divisible by both 2 and 3. It is also divisible by 2 x 3 = 6.

Similarly, a number is divisible by both 4 and 6.

Can we say that the number must also be divisible by 4 x 6 = 24?

The Answer is No. Any number which is divisible by 2 and 3 would be divisible by 6 since both 2 and 3 are prime numbers.

However, Since 4 and 6 are Non prime , the numbers which are divisible by 4 and 6 would not be divisible by 24.