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) < 100 and n is not prime, what is the greatest possible value of f(n)? Select.
A) 99	B) 95	C) 91	D) 87	E) 78
A) 99 = 11*3*3 ( 99 is not product of distinct primes. 3 is repeated). so can't be the answer.   B)95 = 5*19   C)91 = 7*13   D) 87 is prime, so cannot be the answer   E) 78 = 13*2*3   largest possible n is B.   Answer is 95.
<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) < 100 and n is not prime, what is the greatest possible value of f(n)?