### Instruction: What is the greatest prime factor of 99?### Response: To find the greatest prime factor of 99, I need to factor 99 into its prime factors.
One way to do this is to use a factor tree, where I start with 99 and break it down into two smaller factors, and then repeat the process until I reach only prime factors.
For example, I can start by writing 99 as 9 times 11.
Then, I can break down 9 as 3 times 3, and 11 is already prime.
So, the prime factorization of 99 is 3 times 3 times 11.
The greatest prime factor is the largest of these three numbers, which is 11.