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) < 50 and n is not prime, what is the greatest possible value of f(n)?	Pick:
A) 48
B) 35
C) 31
D) 32
E) 28
Since we need the largest value of f (n), we will start with the largest option.   Option A: 48 = 2*2*2*2*3. This is not a product of distinct prime numbers. Hence incorrect   Option B: 35 = 5*7. This is a product of distinct prime numbers.   Rest all the options are smaller that 35.   Correct Option: 35
<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) < 50 and n is not prime, what is the greatest possible value of f(n)?