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By the Fundamental Theorem of Arithmetic, in how many ways can a given composite number be written as a product of primes (counting the same primes in a different order as the same way)?

Class 10Fundamental Theorem of ArithmeticNumber Systems
  • AExactly one way
  • BTwo ways
  • CInfinitely many ways
  • DIt depends on the number

Step-by-Step Solution

The theorem guarantees that the prime factorisation of a composite number is unique, apart from the order of the factors, i.e. exactly one way.
Answer: A) Exactly one way

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