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Iift 2010 Question 20

This is a detailed step-by-step solution for Iift 2010 Question 20. Understand the concept, common mistakes, and expert tips to solve similar questions in IIFT exam.

IIFT 2010

7! can be broken into prime factors.
7! = 1*2*3*4*5*6*7 = 24 ∗ 32 ∗ 5 ∗ 7
Hence, the smallest perfect square which is divisible by 7! will 24 ∗ 32 ∗ 5 ∗ 7 = 5040*5*7 = 176400

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