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Question

Find the total number of prime factors in the product `[  (4)^11 xx 7^5 xx (11)^2]` ?


Options:
A .  25
B .  26
C .  28
D .  29
Answer: Option C

`[(4)^11 xx 7^5 xx (11)^2`

= `(2 xx 2)^11 xx 7^5 xx (11)^2`

=`(2^2)^11 xx 7^5 xx (11)^2`

=`(2^22 xx 7^5 xx 11^2)`

Required number of factors =  (22 + 5 + 2) = 29.



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