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'Factor-multiple Chains' printed from http://nrich.maths.org/
Here is an example of a factor-multiple chain of four
Can you see how it works? Perhaps you could make some statements
about some of the numbers in the chain using the words "factor" and
In these chains, each blue number can range from $2$ up to $100$
and must be a whole number.
You may like to experiment with this spreadsheet
which allows you
to enter numbers in each box. Perhaps you can make some more chains
What are the smallest blue numbers that will make a complete chain?
What are the largest blue numbers that will make a complete chain?
What numbers cannot appear in any chain?
What is the biggest difference possible between two adjacent blue
What is the largest and the smallest possible range of a complete
chain? (The range is the difference between the largest and