# 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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