Question

The number of ways in which 48 can be expressed as a product of it primes is (not considering the order in which these primes occur)

• A. one
• B. two
• C. many
• D. four

Answer 1

The correct option is A

one

Prime factorising the given number we get,
48 = $2^4\times 3$

Fundamental theorem of arithmetic states that every composite number can be expressed as product of prime numbers and this factorisation is unique.

Therefore, the prime factorisation of 48 is unique and there is only one way of writing 48 as product of prime numbers (as shown above).