Answer :
Answer:
the prime factorization of 255 is: 3 * 3 * 3 * 5 = 3^3 * 5.
Step-by-step explanation:
To find the prime factorization of 255, we need to break it down into its prime factors. Prime factors are the prime numbers that multiply together to give a given number.
Let's start by finding the smallest prime number that can divide 255 evenly. The smallest prime number is 2, but 255 is not divisible by 2. So, we move on to the next prime number, which is 3.
When we divide 255 by 3, we get 85. Now, we need to check if 85 is divisible by 3. It turns out that it is, and when we divide 85 by 3, we get 28 with a remainder of 1.
Since 28 is still divisible by 3, we continue dividing. When we divide 28 by 3, we get 9 with a remainder of 1.
Finally, when we divide 9 by 3, we get 3 with no remainder. This means that we have found all the prime factors of 255.
To summarize the steps:
1. Divide 255 by 3 to get 85.
2. Divide 85 by 3 to get 28 with a remainder of 1.
3. Divide 28 by 3 to get 9 with a remainder of 1.
4. Divide 9 by 3 to get 3 with no remainder.