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Q.

Find the number of factors of 512.


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a

8

b

10

c

4

d

14 

answer is B.

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Detailed Solution

Concept- Use the prime factorization method to transform the supplied number N into the product of prime factors. The prime factorization result will then be written as Question Image, where The prime numbers M, N, and O are, respectively, their powers a, b, and c. Finally, the total number of components will be determined using the following formula.
The sum of the elements is =  (a+1)(b+1)(c+1).
Finding the factors using prime factorize 512
Question ImageFactor count = (9 + 1) = 10
Hence, the correct answer is option 2.
 
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