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Q.

Which elements are excluded from the composite number's prime factorization?


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a

All prime numbers

b

1 and 7

c

1 and number itself

d

None of the above 

answer is C.

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Detailed Solution

Concept- We'll be able to comprehend the composite numbers. The prime factorization of a composite number will then be performed, and the numbers that are excluded from the prime factorization of composite numbers will be understood.
A positive integer called a composite number has at least one divisor besides itself and the number 1.
As an illustration, the integer 6 is a composite number since it contains two divisors other than itself and the number 1, 2, and 3.
Consider the composite number 21.
Using the 21-prime factorization, we obtain
Question ImageTherefore, 21 can be written as the result of the numbers 3 and 7.
Therefore, 1 and 21 are the only elements that are left out of the prime factorization of 21. because although they are not prime numbers, 1 and 21 are also factors of 21.
In a similar vein, the prime factors of 12 are 2, 2, and 3 (composite number).
Therefore, the two components that are excluded from the prime factorization of a composite number are 1 and the number itself.
Hence, option 3 is correct.
 
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