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Q.

The factors of 96 are-


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is C.

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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.
Finding every factor of the given number, 96, is our task.
Therefore, we must list all such numbers that divide 96 exactly.
The number's prime factors are written down.
Prime factorization of Question Image⇒2, 3 are factors of 96 …….… (i)
These prime integers are hence its factors.
Every number has a factor of 1 as well.
⇒ 1 is a factor of 96 …….… (ii)
Likewise, we are aware that each number is a component of itself.
⇒ 96 is a factor of 96 …..… (iii)
By matching the prime factors, we can now determine the probable factors of 96 from the prime factorization.
Question Imageis a factor of 96
Question Imageis a factor of 96
Question Image is a factor of 96
Question Image is a factor of 96
Question Imageis a factor of 96
Question Imageis a factor of 96
Question Imageis a factor of 96
Question Imageis a factor of 96
⇒4, 8, 16, 32, 6, 12, 24 and 48 are factors of 96. ……...… (iv)
In conclusion, the factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, and 96, according to equations (i), (ii), (iii), and (iv).
Hence, option 3 is correct.
 
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The factors of 96 are-