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Step-by-step explanation:
33!= 1×2×3×4×5..............×33
n=(33-1)/2=16
2^{n(n+1)/2}
=2^{16(16+1)/2}
=2^{16×17/2}
=2^(136)
33! is divisible by 2^136
so 33! is also divisible by 2^15
largest integer n so the 33! is divisible by 2ⁿ is 136.
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