Final answer:
The factors of 110 using the ladder method are 2, 5, and 11, because 2 × 5 × 11 equals 110, and these are the prime factors that multiply together to give the number 110.
Step-by-step explanation:
To find the factors of 110 using the ladder method, start by identifying two numbers that multiply together to give you 110. Let's use 10 and 11, because 10 × 11 = 110. Now, we can factor both 10 and 11 further. The number 10 is 2 × 5, and the number 11 is a prime number and thus has no further factors besides 1 and itself. Therefore, the full factorization of 110 using the ladder method is 2 × 5 × 11.
Another way to look at this is by starting with the smallest prime number that divides into 110, which is 2: 110 ÷ 2 = 55. Then, you can see that 55 is divisible by 5, and when you divide 55 by 5, you get 11, which is a prime number. So the factors are 2, 5, and 11.