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Which statement correctly expresses the Fundamental Theorem of Arithmetic?
AEvery natural number is a prime number.
BEvery composite number can be expressed as a product of primes, and this factorisation is unique apart from the order of the factors.
CEvery integer has exactly two prime factors.
DEvery composite number can be written as a sum of primes in a unique way.
Answer & Solution
Correct answer: B. Every composite number can be expressed as a product of primes, and this factorisation is unique apart from the order of the factors.
The theorem states that each composite number can be factorised into primes, and this prime factorisation is unique except for the order of the prime factors.
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