Any number that is divisible by 9 is also divisible by 3, so it is enough to choose a number that is divisible by 9. Here are two ways you can do this:
1) Choose a number so that the sum of the digits are 9, or a multiple of 9 (that is, 9, 18, or 27 in this case).
2) The more general solution (that works for other numbers, not just 9) is to divide the smallest 4-digit number (1000) by 9. Round the result up, and multiply by 9 again. If you want a larger number, say, one that is close to 4000, divide 4000 by 9, round the result up or down, and multiply by 9 again.
1002 is the smallest 4 digit number divisible by 3 and 2.
There can be no such number.
3333
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.
6000
Algebra
The highest six-digit number divisible by 3, 4, and 5 is 999960.
Every sixth number from 1,002 to 9,996 is divisible by 3 and 6. There are 1,500 of them.
a 3 digit number that is divisible by on is a three digit number that is a multiple of one.
9996
1008 is one such.
1234