how many values of the natural number n are possible so that the expression (16^2+7n+6)/n is also a natural number?

• ans shud be 2
  i.e., 1 and 2
• 11 years agoHelpfull: Yes(14) No(5)
• (256+7n+6)/n
  =(7n+262)/n
  =7n((1+36/n))/n
  =7(1+36/n)
  =so 36 is exactly divisible by 1,2,3,4,6,9,12,24,36
  answer is 9
• 11 years agoHelpfull: Yes(6) No(12)
• ans should be 3
  and the nos. are 1,2,3
  the given expression can be written as (256/n+7+6/n)
  So,for the whole expression to be natural 256 and 6 should both be divisible by n...
  Hence the above result
• 11 years agoHelpfull: Yes(5) No(10)
• (256+7n+6)/n=(262+7n)/n
  262/n+7 is to be natural number n=1,2 or 131
  hence value of natural number=3
• 11 years agoHelpfull: Yes(4) No(2)