We have to divide the molecule to know the full name: 
The first part: 

It is a salt that we have to name with the present elements in the formula, as follows: Calcium chloride (this is the proper suffix for this salt). 
Then, it is a hydrate, then you only have to count and add the correct prefix: 
In this case, there are 7 hydrates, then the correct prefix is hepta. 
So, the full name will be A. Calcium chloride heptahydrate.