Question

What Is the smallest multiple of 9, all of whose digits are even?

Answer 1

90 - How were you trying to solve this one?

Answer 2

9 is not an even digit

Answer 3

I don't understand how it could have an even multiple?

Answer 4

Yikes. I got all excited with the zero. Very bad. The questino stands. How ere you trying to solve this one? Can it be solved?

Answer 5

@buttersnap
9*2=18 but 1 is odd
9*3 is 27 but 7 is odd
find a multiple that is not odd

Answer 6

Generated them
Seems to be 288

Answer 7

that seems to be the problem, I have no ideas how to approach it yet

Answer 8

great, but I still want a method :P

Answer 9

You could write a 3 line python program to solve it, but I don't think that's hte point here

Answer 10

Exactly what I did lol. Wanted to make sure it happens
If I remember correctly test for divisibility by 9 has to do with sum of digits.

Answer 11

Thanks for all the help guys!

Answer 12

If there is a 3-digit solution, we have n*9 = 100*2j + 10*2k + 2l, where j, k, and l are digits less than 5. n must be a multiply of 2. It's not much, but it's something.

2j + 2k + 2l must be divisible by 3, so j+k+l must be 3, 6, 9, or 12.

2j + 2k + 2l must be divisible by 9, so j+k+l must be 9.

There are hints, but it's not clean. I'll quit typing, now, in case I get all exicted about zero, again.

Answer 13

I ignored 0.
Might have been a trick question

Answer 14

288 may work.