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Q: Can you write a number that is divisible by 3 but not divisible by 6?

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No.

Impossible: if a number N is divisible by 6 then it exists a number M such as N = 6 x M then N = 2 x 3 x M, then N is divisible by 3

There is no such number. Since 6 is divisible by 3, then any number that is divisible by 6 automatically has to be divisible by 3.

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.

if a number is divisible by 2 and 3 then its divisible by 6

If a number is divisible by 2 and 3, it is divisible by 6.

Since 3 is a factor of 6, any number divisible by 6 is also divisible by 3. But since 2 is also a factor of 6, then any number divisible by 6 must also be divisible by 2. This means that any number divisible by 6 is an even number. So if a number is odd and it is divisible by 3, then it is not divisible by 6. For example, 12 is divisible by 3, but since it is even, it is also divisible by 6. But 15 is divisible by 3, and it is odd, so it is not divisible by 6.

As 6 is divisible by 3, ANY dumber divisible by 6 is also therefore divisible by 3. Any number divisible by 3 is ALSO a multiple of 3.

These numbers are not evenly divisible by 6: Any number smaller than 6. Any odd number (not divisible by 2). Any number not divisible by 3. If a number is divisible by both 2 and 3, it is divisible by 6.

Not always as for example 81 is divisible by 3 but not by 6

138 is divisible by 6. Any number is divisible by 6 if it is an even number that also is divisible by 3.

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.

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