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The Fundamental Theorem of Arithmetic states that every composite number can be expressed as a product of primes, and this factorisation is
Anever possible
Bdifferent every time
Cpossible only for even numbers
Dunique apart from the order
Answer & Solution
Correct answer: D. unique apart from the order
1. Any composite number breaks into prime factors.
2. By the Fundamental Theorem of Arithmetic this prime factorisation is **unique** (except for the order of the factors).
3. e.g. 12 = 2 × 2 × 3 always.
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch8 'Real Numbers', §8.3_
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