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If this is a T-F question, the answer is false. It is true that if a number is divisible by 6, it also divisible by 3. This is true because 6 is divisible by 3. However, the converse -- If a number is divisible by 3, it is divisible by 6, is false. A counterexample is 15. 15 is divisible by 3, but not by 6.
It becomes clearer if you split the question into its two parts.
A number is divisible by 6 if it is divisible by 3? False. It must also be divisible by 2.
A number is divisible by 6 only if it is divisible by 3? True.
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What is a 4-digit number that is divisible by only 6 and 9?
There is no number that is divisible by only 6 and 9 because any number is divisible by 1 and itself. Furthermore, any number that is divisible by 6 MUST be divisible by 2 as well as 3 - so only 6 is impossible.
What number is divisible by 6 but not 3?
A number that is divisible by 6 but not by 3 must be a multiple of 6 that is not a multiple of 3. Since 6 is a multiple of 3 (6 = 2 * 3), any multiple of 6 will also be a multiple of 3. Therefore, there is no number that is divisible by 6 but not by 3.
What is the divisible of 6?
if a number is divisible by 2 and 3 then its divisible by 6
If a number is divisible by 3 then it is divisible by 6?
Not always as for example 81 is divisible by 3 but not by 6
What is the rule for multiples of 6?
If a number is divisible by 2 (an even number) and 3 (the sum of the digits is divisible by 3) then the number is divisible by 6.
