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The total number of prime factors of the products (8) 20, (15) 24, (7) 15 is?

59
98
123
138

Correct Answer: 123

Explanation:

Since 2, 3, 5, 17 are prime numbers and
The given expression = (2³)²⁰ x (3 x 5)²⁴ x (17)¹⁵
= 2⁶⁰ x 3²⁴ x 5²⁴ x 17¹⁵
So the total number of prime factors in the given expression is (60 + 24 + 24 + 15 ) = 123.

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