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Jon teaches a fourth grade class at an elementary school where class sizes are always at least 10 students and at most 15.  One day Jon decides that he wants to arrange the students in their desks in a rectangular grid with no gaps.  Unfortunately for Jon he discovers that doing so could only result in one straight line of desks.  What is the largest number of students that Jon could have in his class?

 Oct 29, 2024
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Jon teaches a fourth grade class at an elementary school where class sizes are always at least 10 students and at most 15.  One day Jon decides that he wants to arrange the students in their desks in a rectangular grid with no gaps.  Unfortunately for Jon he discovers that doing so could only result in one straight line of desks.  What is the largest number of students that Jon could have in his class?    

 

It will have to be a prime number.  Any nonprime number can be divided into at least two rows.     

The largest prime number that's 15 or less is 13.    

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 Oct 29, 2024

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