Prime factorization of 88 with division and factor tree method. I am not able to do this question.
88/2 = 44
44/2 = 22
22/2 = 11
2^3 * 11 = 88
I did it
Sure! I can help you with that.
First, let's start with the division method for finding the prime factorization of 88:
Step 1: Start by dividing 88 by the smallest prime number, which is 2. 88 ÷ 2 = 44
Step 2: Now, divide 44 again by the smallest prime number, 2. 44 ÷ 2 = 22
Step 3: Continue dividing by 2 until you can no longer divide evenly. 22 ÷ 2 = 11
Step 4: The number left, 11, is a prime number and cannot be divided any further.
So, the prime factorization of 88 using the division method is 2 × 2 × 2 × 11, or written as 2^3 × 11.
Now, let's also use the factor tree method to find the prime factorization of 88:
Step 1: Draw a factor tree with 88 as the starting number.
88
/ \
2 44
/ \
2 22
/ \
2 11
Step 2: Keep breaking down the numbers until you reach prime numbers.
Step 3: Now, you can read the prime factors from the bottom of the tree, which are 2, 2, 2, and 11.
Therefore, the prime factorization of 88 using the factor tree method is 2 × 2 × 2 × 11, or written as 2^3 × 11.
Sure! I can help you with that. Let's start with the division method.
To find the prime factorization of 88 using the division method, you need to divide the number by prime numbers until you can no longer divide evenly. Here's how you can do it:
1. Start by dividing 88 by the smallest prime number, which is 2. Since 88 is divisible by 2, you get 88 ÷ 2 = 44.
2. Next, divide 44 by 2 again. Now you get 44 ÷ 2 = 22.
3. Again, divide 22 by 2. This time you get 22 ÷ 2 = 11.
4. Finally, divide 11 by any prime number larger than 2, such as 3 or 5. But in this case, since 11 is a prime number itself, you don't need to continue dividing.
So, the prime factorization of 88 using the division method is 2 × 2 × 2 × 11, which can be written as 2^3 × 11.
Now, let's move on to the factor tree method.
A factor tree is a method that breaks down a number into its prime factors using a branching structure. Here's how you can construct a factor tree for 88:
1. Start by writing down 88 at the top of your paper or diagram.
2. Find any two factors of 88. In this case, we can start with 2 and 44. Write these factors as branches coming down from the number 88.
88
/ \
2 44
3. Continue factoring each branch until you reach prime numbers. Factor 44 into 2 and 22, and factor 22 into 2 and 11.
88
/ \
2 44
\
2 22
\
2 11
4. Once you have reached prime numbers (numbers that cannot be further factored), write them at the ends of the branches.
88
/ \
2 44
\
2 22
\
2 11
5. The prime factorization is obtained by combining the prime numbers along any path from the top of the tree to its leaves. In this case, the path from the top to the bottom-left leaf gives us the factorization 2 × 2 × 2 × 11, which can be written as 2^3 × 11.
So, the prime factorization of 88 using the factor tree method is also 2^3 × 11.
Both methods give us the same result: 88 = 2^3 × 11.