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Question

The number of even proper divisors of 1008 is


A

23

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B

21

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C

20

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D

None of these

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Solution

The correct option is A

23


Explanation for the correct option:

Find the total number of divisors of the given number.

A number 1008 is given.

The factors of the given number are as follows 1008=223·32·7.

So, the even divisors are as follows: (3+1)(2+1)(1+1)=24

So, the number of proper even divisors can be given by 24-1=23.

Therefore, the total number of proper even divisors of the given number is 23.

Hence, option A is the correct answer.


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