Indian Institute of Foreign Trade 2010 Solved Paper

Question : 20 of 135

Marks: +1, -0

The smallest perfect square that is divisible by 7!

Solution:

7! can be broken into prime factors.

7!=1×2×3×4×5×6×7=2^4×3^2×5×7

Hence, the smallest perfect square which is divisible by 7! will

=5040×5×7=176400

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