Look at the following pattern shown below.
12 is divisible by 3 to give 4.
1122 is divisible by 33 to give 34.
111222 is divisible by 333 to give 334.
11112222 is divisible by 3333 to give 3334.
Does this pattern go on forever? Will such numbers made by 1's and 2's be always divisible by their respective 3's to give a result ending with 4?
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