Translate the text into English, keeping the original text's line breaks and format, and output the translation result directly.

A wire 144 cm long is used to form a rectangle with both length and width being integer centimeters. There are $\qquad$ different ways to do this.
【Analysis and Solution】
Counting.
Length + Width $=144 \div 2=72$ cm; $\square$
Both the length and width are in whole centimeters;
Therefore, decompose 72 into the sum of two positive integers: $72=1+71=2+70=3+69=\cdots=35+37=36+36$;
There are a total of 36 different decompositions;
Hence, using a 144 cm wire to form a rectangle with both length and width in whole centimeters, there are 36 different ways to do so.