Prime Factorization of 88 using the Factor Tree Method

To find the prime factorization of a number, we can use the factor tree method. This method involves breaking down the number into its prime factors by repeatedly dividing it by prime numbers.

Step 1: Begin with the given number 88

We start by writing down the number 88.

Step 2: Find two factors of 88

We need to find two numbers that multiply together to give 88. In this case, 8 and 11 are factors of 88 because 8 × 11 = 88.

Step 3: Create a factor tree

We draw a vertical line under the number 88 and split it into two branches, one for each factor. On the left branch, we write down 8, and on the right branch, we write down 11. These branches represent the prime factors of 88.

Step 4: Continue factoring

Next, we look at the branch with the number 8. We need to find two factors of 8. Since 2 × 4 = 8, we write down 2 and 4 on new branches under the number 8.

Step 5: Continue factoring the other branches

Now, we move to the branch with the number 11. Since 11 is a prime number, we cannot further factor it. Therefore, we leave it as it is.

Step 6: Complete the factor tree

At this point, we have finished factoring all the branches. The factor tree should look like this:

88
/ \
8 11
/ \
2 4

Step 7: Write the prime factorization

To find the prime factorization of 88, we simply read the prime factors from the bottom to the top of the factor tree. In this case, the prime factors are 2, 2, 2, and 11. Therefore, the prime factorization of 88 is 2 × 2 × 2 × 11.

Final Answer:
The prime factorization of 88 using the factor tree method is 2 × 2 × 2 × 11.