The prime factorization of 27 is 3 x 3 x 3 or 33.
To find the prime factorization, we start by dividing 27 by the smallest prime number, which is 3. When we divide, we get:
- 27 ÷ 3 = 9
Next, we take the result, which is 9, and divide it again by 3:
- 9 ÷ 3 = 3
We continue this process with the result 3:
- 3 ÷ 3 = 1
Since we reached 1, we can stop here. Now, looking at our divisions, we see that 27 can be expressed as the multiplication of the prime number 3 three times. Therefore, the prime factorization of 27 is 3 raised to the power of 3.