To determine if a number is divisible by 6, we need to check if it is divisible by both 2 and 3. The number 34614 is divisible by 2 because it is even (the last digit is even). To check if it is divisible by 3, we sum the digits: 3 + 4 + 6 + 1 + 4 = 18, which is divisible by 3, so 34614 is divisible by 3. Therefore, 34614 is divisible by 6. To check if it is divisible by 9, we sum the digits again: 3 + 4 + 6 + 1 + 4 = 18, which is divisible by 9, so 34614 is divisible by 9 as well.
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The smallest number divisible by 3 6 and 9 is 18.
The smallest even number divisible by 6 and 9 is 18.
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.
Every number is divisible by any non-zero number. 1485 is not evenly divisible by both of them.
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.