the number of prime factors of 6 10 xx 7, Latest Questions, General Mathematics

Question:The number of prime factors of`(6)^(10) xx (7)^(17) xx (55)^(27)` is :

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+ AnswerD

+ Explanation`(6)^(10) xx (7)^(17) xx (55)^(27)`

`= 2^(10) xx 3^(10) xx 7^(17) xx 5^(27) xx 11^(27)`

:. The total number of prime factors 

`= (10 + 10 + 17 + 27 + 27) = 91`

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Question:The number of prime factors of`(6)^(10) xx (7)^(17) xx (55)^(27)` is :

A 54

B 64

C 81

D 91

D