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According to the Fundamental Theorem of Arithmetic, the prime factorisation of a composite number is:

Class 10Fundamental Theorem of ArithmeticNumber Systems
  • Aunique, except for the order of factors
  • Balways different each time
  • Cunique only for even numbers
  • Dnever possible

Step-by-Step Solution

Every composite number can be expressed as a product of primes, and this factorisation is unique apart from the order in which the primes are written.
Answer: A) unique, except for the order of factors

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