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Question


(22!×P) is a perfect square. Find the least value of P, given that P belongs to a set of natural numbers.


Options:
A .   176358
B .   347687
C .   909095
D .   686769
E .   0
Answer: Option A
:
A
22! can be written as 219×39×54×73×112×13×17×19.
To make it a perfect square, we need to multiply it by 2×3×7×13×17×19.
So, P = 176358.


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