# 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.