James works in a flower shop. he will put 36 tulips in vase for a wedding. he must use the same number of tulips in each vade. the number of tulips in each vase must be greater than 1 and less than 10. how many tulips could be in each vase ?

We have 36 tulips and a undefined number of vases, we want to put the same amount of tulips in each vase and the number of tulips in each vase must be greater than 1 and less than 10. To solve this, we have to find the divisors of 36 (i.e., the list of all integers that divide 36) which are greater than 1 and less than 10; these numbers are: 2, 3, 4, 6 and 9. These are the number of tulips per vase. The number of vases is the quotient between the total amount of tulips and the number of tulips per vase, that is:

tulips per vase    number of vases

2                           36/2 = 18

3                           36/3 = 12

4                           36/4 = 9

6                           36/6 = 6

9                           36/9 = 4