Use properties of operations two factor 8w + 16 using the GCF
To use the properties of operations and the greatest common factor (GCF) to simplify 8w + 16, we start by noting that both terms have a common factor of 8.
Using the distributive property, we can rewrite 8w + 16 as 8 * w + 8 * 2.
Now we can factor out the GCF, which is 8, from both terms: 8 * (w + 2).
Therefore, the simplified form of 8w + 16 is 8(w + 2).
To factor 8w + 16 using the Greatest Common Factor (GCF), we first need to find the GCF of the two terms.
Step 1: Find the GCF of 8w and 16.
The prime factorization of 8w is 2 * 2 * 2 * w.
The prime factorization of 16 is 2 * 2 * 2 * 2.
The common factors between 8w and 16 are 2 * 2 * 2, which equals 8.
Step 2: Divide each term by the GCF.
Divide 8w by 8: 8w / 8 = w
Divide 16 by 8: 16 / 8 = 2
Step 3: Rewrite the expression using the GCF and the quotients.
8w + 16 can be written as 8 * w + 8 * 2.
Step 4: Factor out the GCF.
8w + 16 = 8 * (w + 2)
Therefore, the factored form of 8w + 16 using the GCF is 8 * (w + 2).
To use the properties of operations to factor 8w + 16 using the greatest common factor (GCF), we need to find the largest number that divides evenly into both 8w and 16.
Step 1: Find the GCF of 8w and 16.
To find the GCF, we can factorize both numbers and identify the common factors. Let's factorize 8w and 16.
8w = 2 * 4 * w = 2 * 2 * 2 * w
16 = 2 * 8 = 2 * 2 * 2 * 2
The common factors are 2, 2, and 2. So, the GCF of 8w and 16 is 2 * 2 * 2 = 8.
Step 2: Factor out the GCF.
To factor out the GCF, we divide each term by the GCF, which is 8.
8w / 8 = w
16 / 8 = 2
So, 8w + 16 can be factored as 8(w + 2).