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The sum of the positive divisors of a positive integer of the form 3p is equal to 600, where p is prime.  What is p?

 Dec 28, 2020
 #1
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600 - 3 = 597

 

597 x 1/3 =199 - which is your prime number p.

 

199 x 2 = 398

 

398 =[1, 2, 199, 398] - Number of its divisors.

 

Sum[1 + 2 + 199 + 398]== 600

 Dec 28, 2020
 #3
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Nice try guest.

It took me quite a while to get my head around the question too.

Melody  Dec 28, 2020
 #2
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The number is 3p

both 3 and p are prime numbers so  the only factors are  1,3, p and  3p

the sum of the factors is   4+4p

 

4+4p= 600

p+1=150

p=149    

 Dec 28, 2020

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