Find the prime factorisation of $$204.

Sure, here are the steps to find the prime factorization of 204:

1. Start by finding the smallest prime number (which is 2) that can divide 204. In this case, 2 can divide 204, so we start with 2.

2. Divide 204 by 2, which equals 102.

3. Now, try dividing 102 by 2. It is divisible, so divide it which equals 51.

4. Now, try dividing 51 by 2. It is not divisible. So, we move to the next prime number, which is 3. 51 is divisible by 3, so divide it which equals 17.

5. Now, try dividing 17 by 3. It is not divisible. So, we move to the next prime number, which is 5. 17 is not divisible by 5.

6. Continue this process until you reach a number that is only divisible by 1 and itself. In this case, that number is 17.

So, the prime factorization of 204 is 2^2 * 3 * 17.