alleryEvery composite number can be expressed as:
AA product of its prime factors
BA sum of two prime numbers
CA difference of two squares
DA multiple of every smaller number
Answer & Solution
Correct answer: A. A product of its prime factors
1. Any natural number can be written as a product of its prime factors.
2. For instance 4 = 2 x 2 and 253 = 11 x 23.
3. The Fundamental Theorem of Arithmetic states this holds for every composite number, and the factorisation is unique apart from the order.
4. A sum of two primes is a different idea altogether, so option B is a trap.
_Source: syllabus Maths, Ch 1 'Real Numbers', S1.2 The Fundamental Theorem of Arithmetic_
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