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If a number is not divisible by 3 then it is not divisible by 9.

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Q: What is the converse of the sentence A number divisible by 9 is also divisible by 3?
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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.


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.


What largest 3 - digit number divisible by both 6 and 9?

999 is divisible by 9, but not by six; the next lower number divisible by 9 is 990, which is also divisible by 6, so that's the answer. Some shortcuts for divisibility: 0 is divisible by any number. If the last digit of a number is divisible by 2, the number itself is divisible by 2. If the sum of the digits of a number is divisible by 3, the number itself is divisible by 3. If the last TWO digits of a number are divisible by 4, the number itself is divisible by 4. If the last digit of a number is divisible by 5, the number itself is divisible by 5. If a number is divisible by both 2 and 3, it is divisible by 6. If the last THREE digits of a number are divisible by 8, the number itself is divisible by 8. If the sum of the digits of a number is divisible by 9, the number itself is divisible by 9. 990: 9+9+0=18, which is divisible by 9, so 990 is divisible by 9. 18 is also divisible by 3, so 990 is divisible by 3, and since 990 ends in 0 it's also divisible by 2, meaning that it's divisible by 6 as well.


What numbers divisible by 2 and 3 are also divisible by what number?

6


Are all numbers divisible by 10 also divisible by 5?

Yes, since 10 is divisible by 5. Likewise, every number which is divisible by 9 is also divisible by 3.

Related questions

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.


Is a number divisible by 4 also divisible by 2 provide your answer?

Yes, any number that is divisible by 4 is also divisible by 2.


When a number is divisible by anotherit is also divisible by the of that number?

factors


Is 1 trillion 17 a prime number?

Since the sum of the digits is divisible by 3, the original number is also divisible by 3.Since the sum of the digits is divisible by 3, the original number is also divisible by 3.Since the sum of the digits is divisible by 3, the original number is also divisible by 3.Since the sum of the digits is divisible by 3, the original number is also divisible by 3.


If a number is divisible by co prime numbers then it is also divisible by their?

It is divisible by their factors. It is also divisible by their product.


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.


Can a number be divisible by 9 and 3?

Yes, any number divisible by 9 is also divisible by 3.


Can a number be divisible by 6 and 12?

Absolutely - any number that is divisible by 12 - is also divisible by 6 !


If a number is even and divisible by 3 than what is true about that number?

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


How do you know a number is divisible by 6?

the number will also be divisible by 3 and 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.


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.