Step 1: List enough multiples of 132 to cover the range of the given numbers: \( 132, 264, 396, 528, 660, 792, 924, 1056 \), and also the specific multiples \( 132 \times 16 = 2112 \), \( 132 \times 17 = 2244 \), \( 132 \times 39 = 5148 \), \( 132 \times 40 = 5280 \), and \( 132 \times 48 = 6336 \).
Step 2: Match each given number against this list: \( 264 \) and \( 396 \) appear directly as \( 132 \times 2 \) and \( 132 \times 3 \); \( 792 \) appears as \( 132 \times 6 \); \( 6336 \) appears as \( 132 \times 48 \). The remaining numbers, \( 462, 968, 2178 \), and \( 5184 \), all fall strictly between two consecutive multiples of 132 and never land exactly on one.
Step 3: Count the matches found: only \( 264, 396, 792 \), and \( 6336 \) are exact multiples of 132.
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