# QA – Placement Quizzes | Numbers, LCM and HCF | Question 4

What is the total number of prime factors in the expression 12^{12} x 16^{16} x 18^{18} ?**(A)** 46**(B)** 154**(C)** 3456**(D)** 2**Answer:** **(B)****Explanation:** 12^{12} = (2 x 2 x 3)^{12} = 2^{24} x 3^{12}

16^{16} = (2 x 2 x 2 x 2)^{16} = 2^{64}

18^{18} = (2 x 3 x 3)^{18} = 2^{18} x 3^{36}

Therefore, total number of prime factors = 24 + 12 + 64 + 18 + 36 = 154

Quiz of this Question