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This problem gives students plenty of opportunity to explore and discuss patterns and properties of numbers. It would make a great starter activity as a prelude to some in-depth work on Factors, Multiples and Primes.
Students could start by listing as many properties of each number as they can, and then look for numbers which have the same property.
Students could then have a go at the Factors and Multiples Puzzle, Dozens and Shifting Times Tables