Number Theory

The answer is $3$

$40 \cdot 6 \cdot 75 \cdot 12=216000$

This number has 3 terminal zeroes. 

Thanks! :)

40 * 6 * 75 * 12  =

40 * 6 *  [3 *25] * [ 3 *4 ]  =

40 * 6 * [ 3 * 3 ] * [ 25 * 4]  = 

6 * 40 *  9 *  100 =

54 * 4000  = 

54 * 4 * 1000  =

216 * 10^3

3 terminal 0's