Use properties of operations to factor 8w + 16 using GCF
To factor out the greatest common factor (GCF) from the expression 8w + 16, we first need to identify the GCF of the coefficients, which is 8.
We can then write 8w as (8 * w) and 16 as (8 * 2), using the distributive property of multiplication.
Now, we can factor out the GCF, 8, from both terms:
8w + 16 = 8 * w + 8 * 2
Using the distributive property again, we can factor out the GCF:
8w + 16 = 8 * (w + 2)
Therefore, the factored form of 8w + 16 using the GCF is 8(w + 2).
was it right
Yes, my previous response is correct. The factored form of 8w + 16 using the GCF is indeed 8(w + 2).
To factor 8w + 16 using the greatest common factor (GCF), we need to find the largest number that divides evenly into both terms. In this case, both terms have a common factor of 8.
Step 1: Identify the GCF.
The GCF of 8w and 16 is 8.
Step 2: Divide each term by the GCF.
Dividing 8w by 8 gives us w, and dividing 16 by 8 gives us 2.
Step 3: Rewrite the expression using the GCF.
The factored form of 8w + 16 is 8(w + 2).
So, using the properties of operations and the GCF, we can factor 8w + 16 as 8(w + 2).
To factor the expression 8w + 16 using the greatest common factor (GCF), we need to determine the largest number or polynomial that can divide both 8w and 16 without leaving any remainder.
Step 1: Determine the GCF.
In this case, the GCF between 8w and 16 is the largest number that can divide both 8w and 16. To find the GCF, we need to determine the factors of each term.
Factors of 8w: 1, 2, 4, 8, w, 2w, 4w, 8w
Factors of 16: 1, 2, 4, 8, 16
The common factors of 8w and 16 are 1, 2, 4, and 8. The largest among these is 8.
Step 2: Divide each term by the GCF.
To factor out the GCF of 8 from 8w and 16, divide each term by 8:
8w/8 = w
16/8 = 2
Step 3: Write the factored expression.
After dividing each term by the GCF, we can rewrite the expression using the factored terms:
8w + 16 = 8(w + 2)
Therefore, the factored form of 8w + 16 using the GCF is 8(w + 2).