anonymous
  • anonymous
If the integer n has exactly three positive divisors, including 1 and n how many positive divisors does n^2 have?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
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
anonymous
  • anonymous
so, there will be 6 positive divisors of n^2
anonymous
  • anonymous
got it?

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anonymous
  • anonymous
ya i took some egs .. n is der ne formule for tis cz i've the soln wer they hav given weird formula!!!
anonymous
  • anonymous
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)..
anonymous
  • anonymous
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
anonymous
  • anonymous
Now this is right @sauravshakya ..

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