You are arranging 70 plants in a rectangular garden with the same number of plants in each row. How many ways can you arrange the garden?

You can pair these up as follows:

1 row of 70 plants

2 rows of 35 plants

5 rows of 14 plants

7 rows of 10 plants

10 rows of 7 plants

14 rows of 5 plants

35 rows of 2 plants

70 rows of 1 plant

Answer:

8 ways