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

What is the total number of prime factors in the expression 1212 x 1616 x 1818 ?
(A) 46
(B) 154
(C) 3456
(D) 2


Answer: (B)

Explanation: 1212 = (2 x 2 x 3)12 = 224 x 312
1616 = (2 x 2 x 2 x 2)16 = 264
1818 = (2 x 3 x 3)18 = 218 x 336
 
Therefore, total number of prime factors = 24 + 12 + 64 + 18 + 36 = 154

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