Question

Use properties of operations to factor 8w + 16 using the GCF

Answer 1

To factor 8w + 16 using the greatest common factor (GCF), we need to find the largest number that evenly divides both 8w and 16.

Step 1: Find the GCF of 8w and 16.
The GCF of 8w and 16 is 8 because it is the largest number that evenly divides both 8w and 16.

Step 2: Divide 8w and 16 by the GCF.
8w ÷ 8 = w
16 ÷ 8 = 2

Step 3: Write the factored form using the GCF.
8w + 16 = 8(w + 2)

Therefore, the factored form of 8w + 16 using the GCF is 8(w + 2).