Brain Teasers
Threes and Fours
Which is the smallest natural number that satisfies the following conditions:
(1) Its digits consist of, and only of 3's and 4's.
(2) Its digital sum is divisible by 3 and 4.
(3) The number itself is divisible by 3 and 4.
(1) Its digits consist of, and only of 3's and 4's.
(2) Its digital sum is divisible by 3 and 4.
(3) The number itself is divisible by 3 and 4.
Hint
It's very easy.Answer
From conditions 1 and 2, we know that we need at least 3 4's and 4 3's.The smallest number they make is 3333444, which is divisible by 3 and 4.
Therefore, the number we're looking for is 3333444.
Hide Hint Show Hint Hide Answer Show Answer
What Next?
View a Similar Brain Teaser...
If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own.
Solve a Puzzle
Comments hidden to avoid spoilers.
Follow Braingle!