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Do the following activity below. The aim is to sort out numbers from 1 to 100 according to the different ways they can be expressed as a product of smaller numbers.
Step 1: Rule out two columns on the sheet of paper you provided. Label one column as “Only 2 Factors”, and the other column as “More than 2 Factors”.
Step 2: Click inside the box, type 1, and press Enter on your keyboard. You should have the product 1 x 1.
Step 4: Click in the box again, type 2, and press the Enter key. You should have 2 x 1.
Step 5: Continue this process until you reach 100.
-If you find a number that has only one other number apart from 1, write it under “Only 1 Factor”.
– If you find a number that has two or more other numbers apart from 1, write it under “More than 2 factors”.
1. With the exception of 1, (since 1 did not have another number) how many numbers went under the column for “Only 2 Factors” ?
2. How many numbers went under the column for “More than 2 Factors” ?
3. What name is given to numbers that have only factors ?
4. Can we refer to numbers with more than two factors as rectangular numbers ? (Hint: The circle patterns).
5. What is another name for numbers that can be written as a product of at least two other numbers ?