Use properties of operation to factor 8w +. 16 using GCF
To factor out the greatest common factor (GCF) of the expression 8w + 16, we need to find the largest number that can divide both 8w and 16. In this case, the GCF is 8.
Using the distributive property, we can rewrite the expression as:
8(w + 2)
Therefore, the factored form of 8w + 16 using the GCF is 8(w + 2).
To factor out the greatest common factor (GCF) from the expression 8w + 16, you need to find the largest number that divides both 8w and 16 evenly. In this case, the GCF is 8 because it is the largest number that divides both terms without leaving any remainder.
Step 1: Write down the expression: 8w + 16.
Step 2: Find the GCF of the terms 8w and 16. The GCF of 8w is 8w, and the GCF of 16 is 16.
Step 3: Divide each term by the GCF:
8w ÷ 8 = w
16 ÷ 8 = 2
Step 4: Rewrite the expression using the GCF and the divided terms:
8w + 16 = 8w ÷ 8 + 16 ÷ 8
= w + 2
So, the factored form of 8w + 16 is:
8w + 16 = 8(w + 2)
To factor 8w + 16 using the Greatest Common Factor (GCF), we need to first determine the GCF of the two terms. The GCF is the largest number that can divide both terms evenly.
In this case, the GCF of 8w and 16 is 8 because it is the largest number that can divide both terms without leaving a remainder.
Now, we can factor out the GCF from the terms:
8w + 16 = 8 * w + 8 * 2
Notice that we factored out 8 (the GCF) from both terms:
8w + 16 = 8(w + 2)
So the factored form of 8w + 16 using the GCF is 8(w + 2).