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Q.

Find the prime factors of 24.

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a

24 = 4 x 2 x 3

b

24 = 2 x 2 x 2 x 3

c

24 = 8 x 3

d

24 = 2 x 2 x 6

answer is B.

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Detailed Solution

Expressing a given number as a product of factors that are all prime numbers is called the prime factorization of a number.

In the first option, 24 is expressed as 4 2 3. Here, 4 is not a prime number hence it can't be considered a prime factorization of 24. Similarly, options 3 and 4 can't be considered as prime factorization of 24 as 8 and 6 are not prime numbers.

Hence 24 = 2 x 2 x 2 x 3 is the correct answer as 24 is expressed as the product of prime numbers.

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