Any integer greater than 5.3 will include 6 or above integers.
So min is 6!, and 6! is divisible by 6 as well as 2. (6x5x4x3x2x1)
Any number more than 6! will also be divisible by 6 and 2 (as 10! is also 10x9x8x7x6!). Hence it must be divisible by 12.
So in my opinion ans is (C)12.
So every integer factorial greater than 5.3 has to be divisible by 12.
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So min is 6!, and 6! is divisible by 6 as well as 2. (6x5x4x3x2x1)
Any number more than 6! will also be divisible by 6 and 2 (as 10! is also 10x9x8x7x6!). Hence it must be divisible by 12.
So in my opinion ans is (C)12.
So every integer factorial greater than 5.3 has to be divisible by 12.
Posted from my mobile device