The document provides steps to find the prime factors of 198 using the division method. It is first divided by 2, then the resulting number 99 is divided by 3 to get 33, which is then divided by 3 to get 11. Since 11 is prime, the prime factors of 198 are 2, 3, and 11.

1. Problem Solution
Use the division method to find the prime factors of 198

2. Use the branching method to find the prime factors of 315
First, we need to identify a prime
factor of 198.198

3. Use the branching method to find the prime factors of 315
Since 198 is even, we know it is
divisible by 2.2 198
99
÷
= 198 ÷ 2 = 99

4. Use the branching method to find the prime factors of 315
Now, we need to find a prime factor
of 99.
Since the sum of the digits is 9 + 9 =
18 and 18 is divisible by 3, 99 is
also divisible by 3.
2 198
99

5. Use the branching method to find the prime factors of 315
2 198
3 99
33
÷
=
99 ÷ 3 = 33

6. Use the branching method to find the prime factors of 315
2 198
3 99
3 33
11
÷
=
Now, we need to find a prime factor
of 33.
Since the sum of the digits is 3 + 3 =
6 and 6 is divisible by 3, 33 is also
divisible by 3.
33 ÷ 3 = 11

7. Use the branching method to find the prime factors of 315
2 198
3 99
3 33
11
Since the result, 11, is prime, the
table is finished.
Now, we just read the prime factors from the table following the arrow:
198 = 2 ⋅ 32 ⋅ 11