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Question

Consider the statements regarding prime factorization:

Statement I: The factors in prime factorization of a number are prime numbers.

Statement II: The numbers, having composite numbers as factors, cannot be expressed as prime factorization.

A
Both the statements are correct.
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B
Only Statement I is correct.
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C
Only Statement II is correct.
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D
None of the above.
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Solution

The correct option is B Only Statement I is correct.
Expressing the factors of a number as prime numbers is called prime factorization.
For example: 24=1×8×3
24=1×2×2×2×3
Here, all the factors are prime numbers.
Statement I is correct.

Also, 8, a composite number, is a factor of 24.
However, 8 can be expressed as 2×2×2, where 2 is a prime number.
Statement II is not correct.

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