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How many of the following numbers are divisible by 132? 660 ,  754 , 924 , 1452, 1526 , 1980 , 2045 and 2170

Question

How many of the following numbers are divisible by 132? 660 ,  754 , 924 , 1452, 1526 , 1980 , 2045 and 2170

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Solution

To determine if a number is divisible by 132, it must be divisible by all of 132's prime factors. The prime factors of 132 are 2, 3, and 11.

Let's check each number:

  1. 660: This number is divisible by 2, 3, and 11. So, it is divisible by 132.
  2. 754: This number is not divisible by 3. So, it is not divisible by 132.
  3. 924: This number is not divisible by 11. So, it is not divisible by 132.
  4. 1452: This number is not divisible by 11. So, it is not divisible by 132.
  5. 1526: This number is not divisible by 3. So, it is not divisible by 132.
  6. 1980: This number is divisible by 2, 3, and 11. So, it is divisible by 132.
  7. 2045: This number is not divisible by 2. So, it is not divisible by 132.
  8. 2170: This number is not divisible by 3. So, it is not divisible by 132.

So, out of the given numbers, only 660 and 1980 are divisible by 132.

This problem has been solved

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