Q85 / 180 · COMEDK 2012 · Mathematics

The number of positive divisors of 4896 is

  • A
    32
  • B
    34
  • Correct answer
    C
    36
  • D
    38

Solution

We have, $4896=2^{5} \times 3^{2} \times 17^{1}$ So, $T(a)=(1+5)(1+2)(1+1)=36$

Hence, the correct answer is option: 'C'.

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