use properties of operations to factor 8w + 16 Using the GFC
To factor out the greatest common factor (GCF) from the expression 8w + 16, you need to identify the largest number that divides evenly into both 8w and 16. In this case, the GCF is 8.
Step 1: Identify the GCF
The GCF of 8w and 16 is 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: Write the factored form
The factored form of 8w + 16 is 8(w + 2).
To factor 8w + 16 using the Greatest Common Factor (GCF), we need to find the largest number that can divide both 8w and 16.
First, let's factor 8w separately:
8w = 2 * 4 * w
Next, let's factor 16 separately:
16 = 2 * 8
Now, let's find the common factors between 8w and 16. The GCF is the product of all the common factors:
GCF = 2
Now, divide both 8w and 16 by the GCF:
8w/GCF + 16/GCF = (2 * 4 * w)/2 + (2 * 8)/2 = 4w + 8
Therefore, the factored form of 8w + 16 using the GCF is 4w + 8.
To factor the expression 8w + 16 using the greatest common factor (GCF) and properties of operations, follow these steps:
Step 1: Identify the GCF of the terms.
In this case, there is a common factor of 8 between both terms.
Step 2: Divide each term by the GCF.
Dividing 8w by 8 gives w, and dividing 16 by 8 gives 2.
Step 3: Rewrite the expression using the factored terms.
Now that we have divided both terms by the GCF, we can rewrite the expression using the factored terms:
8w + 16 = 8 * w + 8 * 2
Step 4: Simplify the expression further.
Applying the distributive property, we can simplify the expression further:
8w + 16 = 8w + 16
Now, the expression is already simplified and cannot be factored any further using the GCF.