how many positive divisors does 2016 have

• total number of divisor is 36
  2016=2^5*3^2*7^1
  =(5+1)*(2+1)*(1+1)
  =6*3*2
  =36
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• 2016=2^5*3^2*7^1
  number of positive divisors=(5+1)*(2+1)*(1+1)-1
  [because there may be a solution where none of the divisors will come]
  =35
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• divisors of 2016 means the no. of factors of 2016.......so ans is 30.
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