Q108 / 180 · COMEDK 2020 · Mathematics

The number of positive divisors of 252 is

  • A
    5
  • B
    9
  • C
    10
  • Correct answer
    D
    18

Solution

We have, $$ 252=2^{2} \times 3^{2} \times 7^{1} $$ $\therefore$ Number of positive divisors of $$ 252=(2+1)(2+1)(1+1)=3 \times 3 \times 2-18 $$

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

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