Divide the length of any one side into 8 parts. Do the same to any other side. Join these points in such a way that the lines do not cross - you could choose the second side as the one opposite the first to simplify this. The lines will divide the square into 8.
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There are: 8*8 = 64 squares
The squares on a chess board are not usually numbered, however the board is 8 squares wide and 8 squares long, giving 64 squares in total.
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An 8 by 8 grid would have 64 squares(multiply 8 times 8 to get the square).
64 squares on the chess board, and 4 squares in a 2 x 2 square; 64 / 4 = 16.