SAT Math Multiple Choice Practice Question 333: Answer and Explanation
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Question: 333
3. For all integers n greater than 1, let 
, where k is the sum of all the prime factors of n. What is the value of f (14) -f (6)?
A. 4
B. 5
C. 6
D. 9
E. 14
Correct Answer: A
Explanation:
A
To find the value of f (14), find all the factors of 14:
1, 2, 7, 14
There are two prime factors, 2 and 7.
To find the value of f (6), find all the factors of 6:
1, 2, 3, 6
There are two prime factors, 2 and 3.
