How many of the following numbers are divisible by 132?
660, 754, 924, 1452, 1526, 1980, 2045 and 2170
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 4.
Divisibility rule of 132 = 3, 4, and 11 are factors of 132, hence if a number is divisible by 3,4 and 11, the number will be divisible by their product 132 also
660 = 11 × 2 × 3 × 2 × 5
So 660 is divisible by 132.
754 = 2 × 3 × 109
So 754 is not divisible by 132.
924 = 2 × 2 × 3 × 11 × 7
So 924 is divisible by 132.
1452 = 2 × 2 × 3 × 11 × 11
1452 is divisible by 132.
1526 = 2 × 7 × 109
1526 is not divisible by 132.
1980 = 2 × 11 × 2 × 3 × 3 × 5
1980 is divisible by 132.
2045 = 5 × 409
2045 is not divisible by 132.
2170 = 2 × 7 × 5 × 31
2170 is not divisible by 132.
Hence, 4 numbers i.e. 660, 924, 1452, 1980 is divisible by 132