Selective divisors
Number Theory
Level
1
My favorite number is a 2-digit positive integer.
It is not divisible by 4, nor by 5, nor by 6.
But it is divisible by 7.
What is the smallest possible value for my favorite number?
The answer is 14.
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1 solution
7does not have two digits. 14, however, does. In addition, it isn't divisible by 4, 5, or 6, but it is by 7.