jmc

Question

A band has 72 members who will all be marching during halftime. They need to march in rows with the same number of students per row. If there must be between 5 and 20 students per row, in how many possible row-lengths can the band be arranged?

Accepted Answer

If x members march in each row and there is a total of y rows, then xy=72=2^33^2. Given that 5 x20, the possible values for x are 2^3=8, 2^23=12, 23=6, 23^2=18 and 3^2=9, for a total of 5 row-lengths.