The number of odd positive divisors of 67500 is

The number of odd positive divisors of 67500 is
  1. $16$
  2. $18$
  3. $20$
  4. $22$

Solution

$\because 67500=2^2 \times 5^4 \times 3^3$ No. of divisors $=(2+1)(4+1)(3+1)=60$ No. of odd positive divisors $=\frac{60}{(2+1)}=20$

Asked in: AP EAMCET 2023 (18 May Shift 1)

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