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Multiplication Cube

Age 11 to 14 Short
Challenge Level

If the figure shown is folded to form a cube then three faces meet at every vertex.

The numbers on the three faces meeting at any
vertex can be multiplied together.

What is the largest such product for the vertices of the cube?

This problem is taken from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.