SOLUTION: Find the smallest value of k, when 3780k is a perfect square.(find the prime factors of 3780)

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Question 481441: Find the smallest value of k, when 3780k is a perfect square.(find the prime factors of 3780)
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
3780 = (2^2)(3^3)(5)(7)

Assuming k is nonzero, we can multiply 3780 by 3,5,and 7 so that the exponents corresponding to 3,5, and 7 will all be even. Hence, the smallest k is 3*5*7 = 105.