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) < 30 and n is not prime, what is the greatest possible value of f(n)?	Choose the correct choice
A) 28
B) 26
C) 20
D) 18
E) 15
Since we need the largest value of f (n), we will start with the largest option.   Option A: 28 = 2*2*7. This is not a product of distinct prime numbers. Hence incorrect   Option B: 26 = 2*13. This is a product of distinct prime numbers.   Rest all the options are smaller that 26.   Correct Option: 26
<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) < 30 and n is not prime, what is the greatest possible value of f(n)?