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Q.

Write all factors of 64.


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a

1,2,4,8,16,11 and 13.

b

1,3,5,7,16,32 and 64.

c

1,2,3,4,5,8,16,32 and 64.

d

1,2,4,8,16,32 and 64. 

answer is D.

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Detailed Solution

Concept- By expressing the provided number's prime factorization, we can write the factors of the given number. By multiplying the prime factors by one another, create every conceivable factor. A number is written in multiples of its factors when it has all prime factors. This is known as prime factorization.
We must determine every potential factor of the given integer, 64.
Therefore, we must list all such numbers that divide 64 in half.
The number's prime factors are written down.
64's prime factorization is Question Image.
Question ImageThese prime integers are hence its factors.
Every number has a factor of 1 as well.
Question ImageLikewise, we are aware that each number is a component of itself.
Question ImageBy matching the prime factors obtained from the prime factorization, we can now determine the potential factors of 64.
Question Image  is a factor of 64
Question Image is a factor of 64
Question Image is a factor of 64
Question Image is a factor of 64
4, 8, 16, and 32 are multiples of 64.
As a result, the factors of 64 are 1, 2, 4, 8, 16, 32, and 64, according to equations (1), (2), (3), and (4).
∴64 has the following factors: 1, 2, 4, 8, 16, 32, and 64.
Hence, option 4 is correct.
 
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