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.

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