Question

Fourteen plants are to be arranged in rows, such that each row has same number of plants. In how many different ways can this arrangement be done?

Answer 1

Different ways in which the plants can be arranged -
1 row with 14 plants = 1 $\times$ 14
= 14
2 rows with 7 plants in each row = 2 $\times$ 7
= 14
7 rows with 2 plants in each row = 7 $\times$ 2
= 14
14 rows with 1 plants in each row = 14 $\times$ 1
= 14

So, we can see that there are 4 different ways of arranging the plants.
Fun fact:
These 1, 2, 7, 14 are nothing but the factors of 14 hence if the equal arrangement of anything is asked we could just find the number of factors of that number.