Which of the following is a prime factor of 54?

Correct option is A

Given:

Identify the prime factorization of 54 from the given options.

Concept Used:
A prime factor is a factor of a number that is a prime number.
The prime factorization of a number is the expression of that number as a product of prime numbers.

Solution:

Lets check by options 

Option (a); $$2^1 \times 3^3$$

​​$$2^1 \times 3^3$$

= 2 × 27

= 54

Option (b); $$3^2 \times 4^3$$

$$3^2 \times 4^3$$

= 9 × 64

= 576

Option (c); $$2^3 \times 5^2$$

$$2^3 \times 5^2$$

= 8 × 25

= 200

Option (d); $$2^2 \times 3^4$$

$$2^2 \times 3^4$$

= 4 × 81

= 324

So, The correct prime factorization of 54 is $$2^1 \times 3^3.$$

Thus, the correct answer is (a).