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.