For every positive integer $p, f(p)$ represents the product of first $p$ positive multiples of $3.$ How many prime

For every positive integer $p, f(p)$ represents the product of first $p$ positive multiples of $3.$ How many prime numbers divide $f(30)?$

A. 2
B. 5
C. 8
D. 10
E. 13

Answer: D

Source: e-GMAT

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