624 people are protesting outside of the White House. If they are standing in a rectangle in which the rows are no less than 6 people and no more than 104, how many different combinations of rectangular shapes are possible?
Choices
A) 6  B) 7  C) 8  D) 9  E) 10
firstly factors of 624 = 1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624   the question says each row will have people no less than 12 and no more than 52,   therefore, we should be interested in the factors between 12 and 52 (inclusive)   12(in each row) * 52(number of columns) =624, similarly   13 * 48   16 * 39   24 * 26   26 * 24   39 * 16   48 * 13   52 * 12   total possibilities = 8   option 8
<result>C</result>
624 people are protesting outside of the White House. If they are standing in a rectangle in which the rows are no less than 6 people and no more than 104, how many different combinations of rectangular shapes are possible?