If a number is divisible by 3 need it to be tested for 9? Justify your answer by stating any 2 numbers which are divisible by 3 but not by 9.

Solution :

We know that,

If a number is divisible by another number, then it is divisible by its factors.

Therefore, If a number is divisible by 9 it is divisible by 3. But the reverse is not necessarily true.

For example,

12 and 15 are divisible by 3 but not by 9.

Therefore, if a number is divisible by 3 it may not be divisible by 9. Hence, we have

to check if the given number is divisible by 9 also.

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Updated on: 10-Oct-2022

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