Quandaries and Queries


3rd Grade math-- question
4x7 = 28
How many arrays can this have?

How do you determine the arrays???




Hi Jan,

Since this is a grade 3 question I expect that what is wanted is the number of ways you can arrange 28 squares into a rectangular array. For example you have

4 7 = 28

which I see as

Arithematically the task is to write 28 as a product of integers in as many ways as possible. The number of arrays is 12 if you agree that 7 4 = 28 gives a different array than the one above.



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