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Row number

Variable
factor

Constant
factor
Product
Notes
1 3 *
27 =
   
2 6 *
27 =
   
3 9 *
27 =
   
4 12 *
27 =
   
5 15 *
27 =
   
6 18 *
27 =
   
7 21 *
27 =
   
8 24 *
27 =
   
9 27 *
27 =
   
10 30 *
27 =
   
11 33 *
27 =
   
12 36 *
27 =
   

1. Find the products of the factors and enter them in the column.
2. What patterns can be found?
3. Write some notes about what was found.
4. Did you include a pattern for the ones' place?
5. Did you include a pattern for the ten's place?
6. Did you include a pattern for all the places?
7. Did you think to add the digits and see if that made a pattern?
8. Did you think to add the digits and add the digits again until there was only one digit?
9. Did you try to rearrange the digits for each product and see if that made a difference as to what it was divisible by?

 

 

Hints

Row number
Variable
factor
Constant
factor
Product
Notes
1 3 *
27 =
81
 
2 6 *
27 =
162
 
3 9 *
27 =
243
 
4 12 *
27 =
324
 
5 15 *
27 =
405
 
6 18 *
27 =
486
 
7 21 *
27 =
567
 
8 24 *
27 =
648
 
9 27 *
27 =
729
 
10 30 *
27 =
810
 
11 33 *
27 =
891
 
12 36 *
27 =
972
 

Dr. Robert Sweetland's Notes ©