The total number of prime factors of the products (8)20,

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

1. 59
2. 98
3. 123
4. 138

Correct Option: C

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.