Question 18.

$2^4 \times 3^5 \times 10^4$

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

$= 2^8 \times 3^5 \times 5^4$

For the factor to be a perfect square, the factor should be an even power of the number.

In $2^8$, the factors which are perfect squares are $2^0$, $2^2$, $2^4$, $2^6$, $2^8$ $= 5$

Similarly, in $3 5$, the factors which are perfect squares are $3^0$, $3^2$, $3^4$ $= 3$

In $5 4$, the factors which are perfect squares are $5^0$, $5^2$, $5^4$ $= 3$

Number of perfect squares greater than 1 $= 5 \times 3 \times 3 - 1$

$= 44$