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If p is a prime number greater than 11, then what is the sum of all positive divisors of 12p in terms of p?

 Mar 27, 2021
 #1
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The sum of the divisors is 1 + 12 + p + 12p = 13p + 13.

 Mar 27, 2021
 #2
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wait but wouldn't you be able to get different factors with the factors of 12? 

Guest Mar 27, 2021
 #3
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hm..

wolfiechan  Mar 27, 2021
 #4
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The positive divisors of 12p are:  1p,  2p,  3p,  4p,  6p,  and  13p.

 

Summing these values (1 + 2 + 3 + 4 + 6 + 12) we get  28p.

 Mar 27, 2021
 #5
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Yeah, that makes sense.

wolfiechan  Mar 27, 2021
 #6
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is it safe to assume the prime number's 13? 

Guest Mar 28, 2021
 #7
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Well geno says its 28 but then Guest says it 13 I'm not really sure

wolfiechan  Mar 28, 2021

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