[ Divisibility of numbers. General properties ]

Can the sum of seven addends be divisible by a number that does not divide any of the addends?

#
Let's consider a set of equal numbers that are not multiples of 7.

## Solution

Sure, for example, the sum $2+2+2+2+2+2+2$ is divisible by 7, even though 2 is not divisible by 7.

## Answer

Yes.