Factor 12y + 6 using the GCF
To factor the expression 12y + 6 using the greatest common factor (GCF), we need to find the largest number that can divide both terms, which in this case is 6.
First, we can factor out 6 from both terms:
12y + 6 = 6(2y + 1)
So, the expression 12y + 6, when factored using the GCF, is 6(2y + 1).
To factor 12y + 6 using the Greatest Common Factor (GCF), we need to find the largest number or variable that can divide both terms evenly.
Step 1: Determine the GCF of 12y and 6.
The factors of 12y are 1, 2, 3, 4, 6, y, 2y, 3y, 4y, 6y, 12, and 12y.
The factors of 6 are 1, 2, 3, and 6.
The GCF of 12y and 6 is 6.
Step 2: Divide each term by 6.
12y divided by 6 is 2y.
6 divided by 6 is 1.
Therefore, the factored form of 12y + 6 is 6(2y + 1).
To factor the expression 12y + 6 using the greatest common factor (GCF), we need to determine the largest number that can divide both terms evenly.
Step 1: Find the common factors.
First, let's find the factors of each term:
- The factors of 12 are 1, 2, 3, 4, 6, and 12.
- The factors of 6 are 1, 2, 3, and 6.
Step 2: Find the greatest common factor.
Next, identify the greatest factor that is common to both terms. In this case, the largest common factor is 6.
Step 3: Divide each term by the GCF.
Now, divide each term by the greatest common factor:
12y ÷ 6 = 2y
6 ÷ 6 = 1
Step 4: Express the original expression in factored form.
Finally, rewrite the original expression as the product of the greatest common factor and the remaining terms:
12y + 6 = 6(2y + 1)
Therefore, the factored form of 12y + 6 using the GCF is 6(2y + 1).