A. B.  
C.   D.
E.    
    
 

This is a 'cross-number' puzzle.

Place a digit in each cell to spell numbers instead of words.

By convention, the first digit of a number is never zero.

(C↓) = (D↓)

(C→) = (E→) = (A→) x (C↓)

(C→) x (E→) = (A↓) x (B↓)