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Find the sum of the positive square free divisors of \(54000\).
Note: A natural number is square free if it is not the multiple of any perfect square greater than 1.

 Jan 12, 2022
 #1
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(1, 2, 3, 5, 6, 8, 10, 12, 15, 18, 20, 24, 27, 30, 40, 45, 48, 50, 54, 60, 72, 75, 80, 90, 108, 120, 125, 135, 150, 180, 200, 216, 240, 250, 270, 300, 360, 375, 432, 450, 500, 540, 600, 675, 720, 750, 1000, 1080, 1125, 1200, 1350, 1500, 1800, 2000, 2160, 2250, 2700, 3000, 3375, 4500, 5400, 6000, 6750, 9000, 10800, 13500, 18000, 27000, 54000)>>Total No. 69>>Total Sum==187,981

 Jan 12, 2022
 #2
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A natural number is square free if it is not the multiple of any perfect square greater than 1.

 

Then this list of numbers should not include   12  18   20  24   27   40   80    etc . 

 Jan 12, 2022

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