2 or 8.
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23456 x 10 = 234560..If you are looking for the smallest possible number divisible by 23456, however, that's another ball game. Then you'd have to break both numbers into prime factors:10 = 2 x 523456 = 2 x 2 x 2 x 2 x 2 x 733 (yes, 733 is a prime number)Then you need to make sure that every prime factor from each of these numbers are "represented" in the number that'll be divisible by both 10 and 23456. However prime factors from different numbers can overlap (here the 2 from 10 and one of the 2's from 23456 are not written as two separate factors, but as one).Thus:2 x 5 x 2 x 2 x 2 x 2 x 733 = 10 x 11728 = 117280.Note that as we removed one 2 as a factor, the number is now half of my first and most simple suggestion. This number, however, should be the absolute smallest number divisible by both 10 and 23456.
Converse:If a number is divisible by 3, then every number of a digit is divisible by three. Inverse: If every digit of a number is not divisible by 3 then the number is not divisible by 3? Contrapositive:If a number is not divisible by 3, then every number of a digit is not divisible by three.
600
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.
35 is not divisible by 3.