Final answer:
The number 110 is divided by 2, 5, and then 11, which are its prime factors, leading to the full set of factors: 1, 2, 5, 10, 11, 22, 55, and 110.
Step-by-step explanation:
To find the factors of 110 using the ladder method, we start by dividing 110 by the smallest prime number that can divide it, which is 2.
So, 110 divided by 2 is 55.
Now, we look for a prime number that can divide 55, and since 55 is not an even number, we try the next smallest prime number, which is 5.
When we divide 55 by 5, we get 11, which itself is a prime number.
Therefore, the prime factorization of 110 is 2 x 5 x 11.
Noting that the product of any combination of these prime factors gives us a factor of 110, we have the complete set of factors for 110 which includes 1, 2, 5, 10, 11, 22, 55, and 110.