use properties of operrations to factor 8w plus 16 using the GCF
To factor 8w + 16 using the greatest common factor (GCF), we first need to identify the GCF of the two terms. In this case, the GCF is 8, as both terms are divisible by 8.
So, we can rewrite the expression as:
8(w + 2)
Notice that we factored out the GCF, 8, and what remains inside the parentheses is (w + 2).
Therefore, the factored form of 8w + 16 using the GCF is 8(w + 2).
To factor 8w + 16 using the greatest common factor (GCF), we need to find the largest number or term that divides evenly into both 8w and 16.
Step 1: Identify the GCF of 8w and 16.
The GCF of 8w and 16 is 8 because 8 is a common factor of both 8w and 16.
Step 2: Divide each term by the GCF.
8w divided by 8 is w.
16 divided by 8 is 2.
Step 3: Write the factored form using the GCF.
The factored form of 8w + 16 using the GCF is 8(w + 2).
Therefore, 8w + 16 can be factored as 8(w + 2) using the GCF.
To factor 8w + 16 using the Greatest Common Factor (GCF), we need to find the largest common factor that divides both terms evenly.
Step 1: Identify the common factors.
The common factors of 8w and 16 are 1, 2, 4, and 8.
Step 2: Find the GCF.
To determine the largest common factor, we look for the highest number in the list of common factors. In this case, the largest common factor is 8.
Step 3: Factor out the GCF.
To factor out the GCF, divide both terms by the GCF, which is 8.
8w ÷ 8 = w
16 ÷ 8 = 2
Now, we have factored out the GCF, 8, from both terms:
8w + 16 = 8(w + 2)
Therefore, the expression 8w + 16 can be factored as 8(w + 2) using the GCF.