What are the smallest blue numbers that will make a complete chain?
2, 4, 8, 16
What are the largest blue numbers that will make a complete chain?
12,24,48,96
What numbers cannot appear in any chain?
Any odd numbers after 12 cannot be used because you can’t divide odd numbers by 2.This is because an odd number times an odd number equals an odd number. A even number times an even number equals an even number. And an odd number multiplied by an even number is an even number. This is because even beats odd. For example, if you do 11X3 it equals 33. If you do 2X4 it equals 8. And if you do 3X6 it equals 18. In this problem you need to multiply by 2, 4 or 8. Therefore, any odd numbers after 12 can’t be used.
What is the biggest difference possible between two adjacent blue numbers?
48
What is the largest and the smallest possible range of a complete chain? (The range is the difference between the largest and smallest values.)