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A very large number x is equal to .\(2^23^34^45^56^67^78^89^9 \) What is the smallest positive integer that, when multiplied with ,x produces a product that is a perfect square?

 Mar 7, 2022
 #1
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I think you have to have even numbered exponents of all of the prime factors to get a perfect square....

   so you would need to multiply by   3 *5 * 7             ( the 9^9  = 3^18 )

 Mar 7, 2022
 #2
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I see! Thank you!

 Mar 7, 2022

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