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suneja
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If the integer n has exactly three positive divisors, including 1 and n how many positive divisors does n^2 have?
 one year ago
 one year ago
suneja Group Title
If the integer n has exactly three positive divisors, including 1 and n how many positive divisors does n^2 have?
 one year ago
 one year ago

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sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
suppose the three divisors of n are 1 , x and n then, the divisors of n^2 are 1 , x ,x^2 , nx , n and n^2
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
so, there will be 6 positive divisors of n^2
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
got it?
 one year ago

suneja Group TitleBest ResponseYou've already chosen the best response.0
ya i took some egs .. n is der ne formule for tis cz i've the soln wer they hav given weird formula!!!
 one year ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.0
Let us take an Example: Suppose n = 4: So: Divisors are : 1, 2 and 4.. Now : \(4^2 =16\) Divisors are : 1, 2, 4, 8, 16 (5 Divisors)..
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
Oh sorry the answer is five... actually x^2 and n will be same because n has only three factors which are 1 , x and n So, n = 1*n or x*x
 one year ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.0
Now this is right @sauravshakya ..
 one year ago
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