132 = 4 x 3 x 11

So, if the number divisible by all the three number 4, 3 and 11, then the number is divisible by 132 also.

264 → 11,3,4 (/)

396 → 11,3,4 (/)

462 → 11,3 (X)

792 → 11,3,4 (/)

968 → 11,4 (X)

2178 → 11,3 (X)

5184 → 3,4 (X)

6336 → 11,3,4 (/)

Therefore the following numbers are divisible by 132 : 264, 396, 792 and 6336.

Required number of number = 4.