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
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:
- 660: This number is divisible by 2, 3, and 11. So, it is divisible by 132.
- 754: This number is not divisible by 3. So, it is not divisible by 132.
- 924: This number is not divisible by 11. So, it is not divisible by 132.
- 1452: This number is not divisible by 11. So, it is not divisible by 132.
- 1526: This number is not divisible by 3. So, it is not divisible by 132.
- 1980: This number is divisible by 2, 3, and 11. So, it is divisible by 132.
- 2045: This number is not divisible by 2. So, it is not divisible by 132.
- 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.
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