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