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A number is divisible by 6 if and only if it is divisible by 3?
Wiki User
∙ 11y ago
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.
Wiki User
∙ 11y ago
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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?
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.
What is the divisible of 6?
if a number is divisible by 2 and 3 then its divisible by 6
What numbers are not divisible by 6?
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.
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
Is it true or false that a number is divisible by 6 if and only if it is divisible by 3?
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.
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?
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.
Is this biconditional statement true A number is divisible by 6 if and only if it is divisible by 3?
How can the following definition be written correctly as a biconditional statement? An odd integer is an integer that is not divisible by two. (A+ answer) An integer is odd if and only if it is not divisible by two
Is a whole number that ends 3 divisible by 2?
No. Only even numbers are divisible by 2.
What 2 digit numbers are divisible by 3 but not 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.
What number is divisible by 6 also a multiple of 3?
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.
What is the divisible of 6?
if a number is divisible by 2 and 3 then its divisible by 6
What is the divisible by 6?
If a number is divisible by 2 and 3, it is divisible by 6.
What numbers are not divisible by 6?
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.
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.
