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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?

 Jul 23, 2024

Best Answer 

 #1
avatar+37103 
+1

If John has 13 students he will not be able to form a rectangle using 'whole' students 

  Factors of 15 :    1   3  5  15

    he could make a 3 x 5 rectangle 

 

14  factors:      1 2 7 14     a 2 x 7 rectangle 

 

13  factors:     1 13        only a 1 x  13   rectangle (straight line ) 

 Jul 23, 2024
 #1
avatar+37103 
+1
Best Answer

If John has 13 students he will not be able to form a rectangle using 'whole' students 

  Factors of 15 :    1   3  5  15

    he could make a 3 x 5 rectangle 

 

14  factors:      1 2 7 14     a 2 x 7 rectangle 

 

13  factors:     1 13        only a 1 x  13   rectangle (straight line ) 

ElectricPavlov Jul 23, 2024
 #2
avatar+1858 
+1

 Hello EP! It's been a while! 

Good job! :)

NotThatSmart  Jul 23, 2024
edited by NotThatSmart  Jul 23, 2024
 #3
avatar+37103 
0

Thanx, Not That Smart !!   I check in once in a while !   ,,,,,

ElectricPavlov  Jul 23, 2024

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