Factor 12 Y + 6 using the GCF
To factor out the greatest common factor (GCF) of 12y + 6, we need to find the largest number that can evenly divide both 12y and 6.
Step 1: Find the GCF of the coefficients (numbers) of the terms. The coefficients of 12y and 6 are 12 and 6, respectively. The GCF of 12 and 6 is 6.
Step 2: Divide each term by the GCF found in step 1.
12y / 6 = 2y
6 / 6 = 1
The factored form of 12y + 6 is:
6(2y + 1)
To factor 12y + 6 using the greatest common factor (GCF), we need to find the largest number that divides both 12y and 6.
First, let's find the factors of 12y. The factors of 12 are 1, 2, 3, 4, 6, and 12. Since 12y is a multiple of 12, all the factors of 12 are also factors of 12y.
Next, let's find the factors of 6. The factors of 6 are 1, 2, 3, and 6.
Comparing the factors of 12y and 6, we see that the GCF is 6.
Therefore, we can factor out 6 from 12y + 6:
12y + 6 = 6(2y + 1)
To factor the expression 12Y + 6 using the Greatest Common Factor (GCF), we first need to find the GCF of the two terms.
Step 1: Find the GCF of 12Y and 6
To find the GCF, we need to identify the common factors of both terms. In this case, the number 6 is a factor of both 12Y and 6.
Step 2: Divide both terms by the GCF
Divide both terms by the GCF of 6:
12Y ÷ 6 = 2Y
6 ÷ 6 = 1
Step 3: Write the factored form
The factored form of 12Y + 6 is:
6(2Y + 1)
So, the expression 12Y + 6 can be factored as 6(2Y + 1) using the GCF.