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What is the converse of the sentence A number divisible by 9 is also divisible by 3?
If a number is not divisible by 3 then it is not divisible by 9.
Is every number that is divisible by 9 divisible by 3?
Yes, every number that's divisible by 9 is divisible by 3
Is 32643 divisible by both 3 and 9?
To check for divisibility by 9 sum the digits of the number and if this sum is divisible by 9 then so is the original number. For 32643: 3 + 2 + 6 + 4 + 3 = 18 which is divisible by 9 so 32643 is divisible by 9. As 9 = 3 × 3, any number divisible by 9 is also divisible by 3, thus as 32643 is divisible by 9 it is also divisible by 3. However, for completeness: to check for divisibility by 3 sum the digits of the number and if this sum is divisible by 3 then so is the original number. For 32643: 3 + 2 + 6 + 4 + 3 = 18 which is divisible by 3 so 32643 is divisible by 3.
What is a number in between 500 and 1000 that is divisible of 3 and 9?
There are many numbers between 500 and 1000 divisible by 3 and 9. Any number divisible by 9 is divisible by 3. How about 900?
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 number is divisible by 9 but not divisible by 3?
It is impossible since 3 can already go into 9.
What is the number n where if the sum of the digits of the number is divisible by n the number itself is divisible by n?
3 and 9. 93 has a digit sum of 12, initially, which is divisible by 3, but not by 9. So 93 is divisible by 3, but not by 9. 99 has a digit sum of 18, initially, which is divisible by 3 and 9. So 99 is divisible by both 3 and 9.
What is the smallest number divisible by 3 6 and 9?
The smallest number divisible by 3 6 and 9 is 18.
Is 234 divisible by 3 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: 2 + 3 + 4 = 9 which is divisible by 3, so 234 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. 234 is even so 234 is divisible by 2.Divisible by 3:Already shown above to be divisible by 3. 234 is divisible by both 2 & 3 so 234 is divisible by 6Divisible by 9:Add the digits and if the sum is divisible by 9, so is the original number: 2 + 3 + 4 = 9 which is divisible by 9, so 234 is divisible by 9Thus 234 is divisible by all 3, 6 & 9.
How is something divisible?
Except for zero, any number can divide into any other number. If the answer is a whole number, the larger number is said to be divisible by the smaller. 9 divided by 4 = 2.25 9 is not divisible by 4. 9 divided by 3 = 3 9 is divisible by 3.
Is every number divisible by 3 and 9 is also divisible by 6 is this true?
No, 9 is divisible by 3 and 9, but not six 3 x 9 = 27, also not divisible by 6
Is 531 divisible by 3?
Yes. If the sum of a number's digits add up to 3 (or a multiple of 3) then the number is divisible by 3. 5 + 3 + 1 = 9 : as 9 is a multiple of 3 then 531 is divisible by 3 (177 x 3 = 531). NOTE : A similar process applies to identify if a number is divisible by 9. If the sum of the number's digits add up to 9 (or a multiple of 9) then the number is divisible by 9. 5 + 3 + 1 = 9 : 531 = 59 x 9.
