Turn of the Screw

Title: Turn of the Screw

Rating: 2/5

The title of this product puzzle is belies its difficulty.  Instead it hints at the more challenging nature of some puzzles in the weeks ahead.

The official rules:

• The digits 1 through 9 appear in each row and each column exactly once.
• Digits in each shaded region must multiply to the indicated product.   
• Squares with multiple colors contain a number that’s used in the product for adjacent regions of each of those colors.  
• Remember: numbers can repeat within a shaded region if that doesn't violate the first rule.