The numbers of positive even divisors of 6300 is

The numbers of positive even divisors of 6300 is
  1. 30
  2. 24
  3. 18
  4. 36

Solution

$\because 6300=2^2 \times 3^2 \times 5^2 \times 1$ No. of divisors $=(2+1)(2+1)(2+1)(1+1)=54$ No. of odd divisors $=(2+1)(2+1)(1+1)=18$ $\therefore$ No. of even divisors $=54-18=36$

Asked in: AP EAMCET 2023 (18 May Shift 2)

Practice more Permutation Combination questions on Aicharya