Question

Find the number of divisors of $3600$

Answer 1

$3600=2\times 2\times 2\times 5\times 5\times 3\times 3\times 2=2^4\times 5^2\times 3^2$

$\therefore d\left(3600\right)=(4+1)(2+1)(2+1)=5\times 3\times 3=45$