Question

Find the number of odd and even divisors of $600$

Answer 1

$600=2\times 3\times 2\times 2\times 5\times 5=2^3\times 3^1\times 5^2$

Number of divisors$=(3+1)(1+1)(2+1)=4\times 2\times 3=24$

Number of odd divisors$=(1+1)(2+1)=2\times 3=6$

Number of even divisors$=24-6=18$