What is the longest string of consecutive numbers you can create without repeat following the given rules?
1. Select a number from 1-100. Cross it off.
2. Then choose a factor or multiple of that number. 3. Keep crossing out factors or multiples of the last number in the chain. For example Ricky started with 50, 100, 5, 10, 20, 40.... 4. What's the longest string of numbers you could make? 5. When you're finished, answer the questions below. |
*Click on the grid for a printable student worksheet
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Questions to Consider
+ What stratgies led you to creating your longest string?
+ What numbers or types of numbers were most useful to you generating your longest string?
+ What numbers or types of numbers were the least helpful to you generating your longest string?
+ Is it possible to generate a list that includes all 100 numbers? Why or why not?
+ What numbers or types of numbers were most useful to you generating your longest string?
+ What numbers or types of numbers were the least helpful to you generating your longest string?
+ Is it possible to generate a list that includes all 100 numbers? Why or why not?