Factor-multiple Chains
Here is an example of a factor-multiple chain of four
numbers:
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
"multiple".
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
for yourself.
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
numbers?
What is the largest and the smallest possible range of a complete
chain? (The range is the difference between the largest and
smallest values.)