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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 there a number divisible by 6. But not 3?

yeah3 9 15 21 27 and so on(every other multiple of three)But if you have a large number, like 755253, and don't have a calculator handy, then use sum of digits to determine if divisible by 3.Then if the number is divisible by 3 and divisible by 2, then it is also divisible by 6.So in this case: 7 + 5 + 5 + 2 + 5 + 3 = 27, which is divisible by 3, but the original number is odd, so the number is not divisible by 6.


Is 78 divisible by 6 and 9?

Using the tests for divisibility:Divisible by 3:Add the digits and if the sum is divisible by 3, so is the original number: 6 + 8 + 4 = 18 which is divisible by 3, so 684 is divisible by 3Divisible by 6:Number is divisible by 2 and 3: Divisible by 2:If the number is even (last digit divisible by 2), then the whole number is divisible by 2. 684 is even so 684 is divisible by 2.Divisible by 3:Already shown above to be divisible by 3. 684 is divisible by both 2 & 3 so 684 is divisible by 6Divisible by 9:Add the digits and if the sum is divisible by 9, so is the original number: 6 + 8 + 4 = 18 which is divisible by 9, so 684 is divisible by 9Thus 684 is divisible by all 3, 6 & 9.


Is a whole number that ends 3 divisible by 2?

No. Only even numbers are divisible by 2.


How can you tell if a number is divisible by 12?

If a number is divisible by both three and four, it's divisible by twelve.

Related Questions

Can you write a number that is divisible by 6 and not 3?

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


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 divisibility notation for determining if a number is divisible by another number?

The divisibility notation for determining if a number is divisible by another number is using the symbol "", read as "divides." For example, if we want to check if 6 is divisible by 3, we write it as 3 6, meaning 3 divides 6 evenly.


A number is divisible by 6 if and only if it is 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.


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 by 6?

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


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.


Is 138 divisible 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.


Is 293 divisible by 6?

It is not divisible by 6. Note:If a number id divisible by 6 then it must be divisible by both 2 and 3.The above number is not divisible by 2 and 3 either.


If the number is divisible by 2 and 3 the whole number is divisible by?

It is divisible by 6