The function f is defined for all positive integers n by the following rule: f(n) is the product of the distinct prime factors of n. If f(n) < 75 and n is not prime, what is the greatest possible value of f(n)?	Answers:
A) 72  B) 69  C) 65  D) 60  E) 58
Since we need the largest value of f (n), we will start with the largest option.   Option A: 2*2*2*2*2*2 = . This is not a product of distinct prime numbers. Hence incorrect   Option B: 69 = 3*23. This is a product of distinct prime numbers.   Rest all the options are smaller that 69.   Correct Option: 69
<result>B</result>
The function f is defined for all positive integers n by the following rule: f(n) is the product of the distinct prime factors of n. If f(n) < 75 and n is not prime, what is the greatest possible value of f(n)?