Set \(X\) consists of exactly four distinct integers that are greater than \(1.\) For each integer in the set, all of that integer’s unique prime factors are also in the set. For example, if \(20\) is in set \(X,\) then \(2\) and \(5\) must also be in set \(X.\) How many of the distinct integers in set \(X\) are prime?

(1) The product of the integers in set \(X\) is divisible by \(36.\)

(2) The product of the integers in set \(X\) is divisible by \(60.\)

Answer: B

Source: Manhattan GMAT