Find the smallest positive integer "k" such that
2000 × 2001 × k is a prefect Square. Express
k as the product of primes.
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When k is 10, then we have two 5s in the denominator and two 5s in the numerator. When k is 13, then there are two 5s in the denominator and four 5s in the numerator. That means it will be divisible by 200. Therefore, the smallest positive integer value of k is 13.
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