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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