+904 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?
+4 1.The class size must be between 10 and 15, and when arranged in a line, the only way to do so it in one line.
Well, how do we do that? Only if the number is prime! Why?
2. If the students are arranged in a grid the number of students is L x W, but its a single fill line, so either the length or width is one! So the number of students must be prime, since if it had other factors, there would be more available gride formation of students!
3. The biggest prime between 10 and 15 is 13!
So 13 in our answer
:))
