#### Answer

$2\times3^{3}$

#### Work Step by Step

A number is prime if it has only two factors: 1 and itself.
We know that the factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54.
2 is a prime number, so we can divide 54 by 2
$54\div2=27$
The factors of 27 are 1, 3, 9, and 27. Since 3 is a prime number, divide by 3.
$27\div3=9$
The factors of 9 are 1, 3, and 9. Since 3 is a prime number, divide by 3.
3 is also a prime number
Therefore, the prime factorization of 54 is $2\times3\times3\times3=2\times3^{3}$.