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  4. The number of all positive odd divisors of 17500 is

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Q. The number of all positive odd divisors of $ 17500 $ is

J & K CETJ & K CET 2017Binomial Theorem

Solution:

$17500=2^{2}\times 5^{4}\times 7$
$\therefore $ Number of all positive odd divisors of $17500$
$=(4+1)(1+1)$
$=10$