Associative property of mathematical multiplication of integers

The associative property of mathematical multiplication of integers says that any order of grouping of numbers in multiplication results into same answer. 
The associative property of mathematical multiplication of integers can be represented as following

(ab)c = a(bc)

OR

(a x b) x c = a x (b x c)

To understand associative property of mathematical multiplication of integers we can try multiplying numbers in different orders and note the results. 
For example,

If a = 5, b = 3 and c = 7

Then (5 x 3) x 7 = 105 and 5 x (3 x 7) = 105

So, (5 x 3) x 7 = 5 x (3 x 7) as 105 = 105

 
Another example,

If a = 5, b = -3 and c = 7

Then (5 x (-3)) x 7 = -105 and 5 x ((-3) x 7) = -105

So, (5 x (-3)) x 7 = 5 x ((-3) x 7) as -105 = -105