Explain why it is possible to draw more than two different rectangles with an area of 36 square units, but it is not possible to draw more than two different rectangles with an area of 15 square units. The sides of the rectangles are whole numbers. EXPLAIN your answer.

THX

4 answers

factor pairs of 36:
1 36
2 18
3 12
4 9 ---- so I could draw 4 different rectangles of area 36 with whole number sides

factor pairs of 15
1 15
3 5 ---> only 2 possible
Use the grid to draw three different rectangles so that each has an area of 12 square units and they all have different widths. What are the dimensions of the rectangles.
alice wants to find all the prime factors of the number you get when you multiply 17times 11 times 13 times . she thinks she has to use a calulator to perform all thr multiplication and then find the prime factorization of the resulting number.do you agree?why or why not?
Because 36 has more factors than 15