In a 100-grid why isn't the total sum of 16 squares (in an irregular shape) divisible by 16?

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It should be noted: * by value I'm referring to the total sum of the numbers in the 'chunk' * each square is a number from 1 - 100 in order * no chunks can be adjoined by corners or have gaps in it

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I hope I understand correctly but why should it be? if you pick a number, x going right/left on the grid will add x+1/x-1 going down/up will add x+10/x-10. by adding 16 numbers that way you get 16x+Y, Y doesn't have to be divisible by 16.