For a positive integer n  , define d(n)=  number of positive divisors of n  . What is the value of d[d(d(12))]?

# For a positive integer  , define  number of positive divisors of  . What is the value of

1. A
3
2. B
4
3. C
5
4. D
6

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### Solution:

Consider the given question,
For a positive integer  , define  number of positive divisors of  .
We know that,
Positive Divisors: The divisors of a positive integer are the integers that evenly divide it.
Divisors of 12 are 1,2,3,4,6,12.
number of positive divisors of 12 is 6.
Divisors of 6 are 1,2,3,6.
number of positive divisors of 6 is 4.

Divisors of 4 are 1,2,4.
number of positive divisors of 4 is 3.

The value of   ,
{   }
Hence, the value of  is 3.
Therefore, option 1 is correct.

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