Napier's Location Arithmetic

Stage: 4 Challenge Level: Challenge Level:1

Part One : Work systematically - look at $1$ multiplying something, then at $2$ multiplying the same number, then $3, 4$ and so on.

Part Two : If this wasn't possible to do, how could you show that it was impossible?

Part Three : Start with a smaller version of the same kind of grid, perhaps having only $1, 2$ and $4$ with which to make each factor.

Published September 2007.