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?

onyuIee Jul 23, 2024

#1**+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 )

ElectricPavlov Jul 23, 2024

#1**+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