Factor 24N -32 using the GCF
To factor 24N - 32 using the greatest common factor (GCF), we first need to find the GCF of the two terms. The GCF of 24N and 32 is 8.
Step 1: Find the GCF.
To find the GCF, we break down both terms into their prime factors.
24 = 2 * 2 * 2 * 3
N = N (N is a variable and does not have prime factors)
32 = 2 * 2 * 2 * 2
The common prime factors between 24N and 32 are 2 * 2 * 2, which is equal to 8. Therefore, 8 is the GCF.
Step 2: Divide each term by the GCF.
To factor using the GCF, divide each term by the GCF.
(24N)/8 = 3N
(32)/8 = 4
Step 3: Write the factored expression.
The factored expression of 24N - 32 using the GCF is:
8(3N - 4)
Therefore, the fully factored expression is 8(3N - 4).
To factor 24N - 32 using the GCF:
Step 1: Find the greatest common factor (GCF) of the terms. In this case, the GCF of 24N and 32 is 8.
Step 2: Divide each term by the GCF.
(24N / 8) - (32 / 8)
Simplified: 3N - 4
So, 24N - 32 factors to 8(3N - 4).
To factor the expression 24N - 32 using the GCF (Greatest Common Factor), we need to find the largest common factor of the given expression.
Step 1: Find the GCF of the coefficients 24 and 32.
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 32 are: 1, 2, 4, 8, 16, and 32.
The largest common factor is 8.
Step 2: Divide each term by the GCF.
Dividing 24N by 8 gives us 3N.
Dividing -32 by 8 gives us -4.
Therefore, the factored form of 24N - 32 is:
8(3N - 4).