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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.

 Jun 20, 2021
 #1
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54000 has the prime divisors of 2, 3, and 5. 

So the number can use 2, 3, or 5 once. 

2

3

5

2*3

2*5

3*5

2*3*5

 

1, 2, 3, 5, 6, 10, 15, 30 are the positive square free divisors, and they sum up to 72. :)

 

=^._.^=

 Jun 20, 2021

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