A terminal zero is a $0$ that appears at the end of a number. For example, the number $3,800$ has two terminal zeros.
How many terminal zeroes does $40 \cdot 6 \cdot 75 \cdot 12$ have?
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