Question

Find the number of ways of expressing 216 as a product of two factors

Answer 1

216 is not perfect square The number of ways of Expressing any non-perfect square as a product of two factors = 1/2 (number of its factors)
$216=2^3\times 3^3$
Number of its factors $=(3+1)(3+1)=16$
$\therefore$ The number of ways of writing $216$ as a product
of two factors $=8$