State true or false:
The fundamental theorem of arithmetic is just an orderwise multiplicative representation of all the prime factors constructing a particular number.

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True

False

answer is A.

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Detailed Solution

It is given that the fundamental theorem of arithmetic is just an order wise multiplicative representation of all the prime factors constructing a particular number.
We know that the Fundamental theorem of arithmetic states that every number, say ‘a’ (where a is an integer and

a > 1

), can be expressed as the product of prime factors (numbers which are divisible only by 1 and itself) and the only difference can be the order of representing them which will ultimately give the same output when arranged again.
Hence, it is just an order wise multiplication of all the prime factors related to a particular number.
Therefore, it is true that the fundamental theorem of arithmetic is just an orderwise multiplicative representation of all the prime factors constructing a particular number.
Hence, option 1 is correct.

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