14) Which of the following numbers ends with the greatest number of zeros?
(A) $2^{2} \cdot 3^{3} \cdot 5^{5}$
(B) $2^{3} \cdot 3^{5} \cdot 5^{2}$
(C) $2^{5} \cdot 5^{3} \cdot 3^{2}$
(D) $4^{4} \cdot 5^{6} \cdot 6^{4}$
(E) $4^{6} \cdot 6^{5} \cdot 5^{4}$
14) The answer is $(D)$.

Counting the number of zeros at the end of a number $n$ means seeing what is the highest power of $10=2 \cdot 5$ by which $n$ is divisible.

This involves determining which is the minimum of the exponents of 2 and 5 in the factorization of the number $n$.

For (A) and (B) it is 2;

for (C) it is 3;

for (D) it is 6;

for (E) it is 4.