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Support the Fundamental theorem of Arithmetic by considering some examples.

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Every composite number can be expressed as a product of primes, and this factorization is unique, apart from the order in which the prime factors occur. 

Ex: 1) Now let us consider a composite number 186. 

∴ 186 can be factorised 2 x 3 x 31 

where 2, 3 and 31 are primes.

Ex: 2) Now consider another composite number 384. 

∴ 384 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 = 27 x 3 where these 2 and 3 are primes. 

Thus we can express any composite number as a product of some primes. 

Thus the theorem is valid.

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