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Write the number of factors of ?

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answer is A.

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Detailed Solution

Concept: Start dividing the number until it divides completely. If the number will be odd then divide the sum of its digit. In last apply the formula

where

are the powers of the required number.
Given number is

,
Here,

is an even number. Therefore, it is divisible by

Now, the required number is again even. Divide it by

$Question Image$ Here,

is an odd number and it is divisible by

because the sum of its digit is divisible by

Number can be written as

It implies that,

Thus, the number of factor of given number are

Factors of the given number are listed below;

So, factor are

.
Hence, the correct answer is option (1) .

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