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Q: Is it true that a number divisible by six is also divisible by three?

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If a number is even (divisible by 2) and divisible by 3, then it must also be divisible by 6.

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.

Yes, that is true.

Not always because 33 is divisible by 3 but not by 9

Three is a prime number and isn't divisible by any whole number * * * * * True, but irrelevant to the question. Any number that is divisible by 10 MUST be divisible by 5. Therefore there are no such numbers.

False. The question consists of 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? This is true but the false part makes the whole statement false.

No, 9 is divisible by 3 and 9, but not six 3 x 9 = 27, also not divisible by 6

True. Since 6 is divisible by 2, any number that is divisible by 6 will automatically be divisible by 2.

Being divisible by 4, means that it will also be divisible by 2, so that doesn't tell you anything about divisibility by 8. But if you divide the number by 2, and this quotient is divisible by 4, then yes the original number is divisible by 8.

False. An enormous number of them are divisible by three.

A number that is divisible by 2 is not always evenly divisible by 6. It must also be divisible by 3, and must not be smaller than 6. The numbers 2, 4, 8, 10, 14, 16, 20, 22, 26, and 28 etc. are all divisible by 2 but not (evenly) by 6. The opposite is true, though. Any number divisible by 6 is also divisible by 2.

The rule of thumb is that if the sum of the digits of the number equals a number that is divisible by 3, then the number is divisible by 3.For example,372: 3+7+2 = 12, which is a multiple of 3 (3x4=12)So, 3 is a factor of 372(which is true, as 3 x 124 = 372).124: 1+2+4 = 7, which is not a multiple of 3So, 3 is not a factor of 124(which is true, as 124 is not evenly divisible by 3, 124/3 = 41.33333)

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