Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The number 
is divisible by
Text Solution
Verified by ExpertsThe correct answer is:
C
The index of highest power of 2 that divides 
ie., E 3 ( 
)
= 
+ ...
= 12 + 4 + 1 = 17
Thus, we find that 2 34 x 3 17 divides 
.
Note that 2 36 and 3 18 do not divide 
. Also, 24 12
= (2 3 x3) 12 = 2 36 x 3 12 does not divide 
.
Since 2 34 x 3 17 = (2 2 ) 17 x 3 17 .
= (2 2 + 3) 17 = 12 17 , therefore, 12 17 divides 
.
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