Find the number of ordered triples $(a, b, c)$ of positive integers such that $abc = 1000$.
(A) 90 (B) 100 (C) 110 (D) 120
Find the number of ordered triples $(a, b, c)$ of positive integers such that $abc = 1000$.

(A) 90 \quad (B) 100 \quad (C) 110 \quad (D) 120