factor 24n-32 using the GCF
To factor out the greatest common factor (GCF) of 24n-32, we need to find the largest number that divides both 24n and 32.
The prime factorization of 24n is 2 * 2 * 2 * 3 * n, which can be written as (2^3) * 3 * n.
The prime factorization of 32 is 2 * 2 * 2 * 2 * 2, which can be written as (2^5).
So, the GCF of 24n and 32 is 2^3, which is 8.
To factor out the GCF, we divide both terms by 8:
(24n-32)/8 = (3n-4)
Therefore, the factorization of 24n-32 using the GCF is 8(3n-4).
To factor the expression 24n - 32 using the greatest common factor (GCF), we first need to find the GCF of the two terms.
Step 1: Find the GCF of 24 and 32.
The prime factorization of 24 is 2^3 * 3.
The prime factorization of 32 is 2^5.
The common factors are 2^3, and thus the GCF of 24 and 32 is 2^3 = 8.
Step 2: Divide both terms by the GCF.
Dividing 24 by 8 gives us 3n.
Dividing 32 by 8 gives us 4.
So, rewriting the expression using the GCF, we have:
24n - 32 = 8(3n - 4).
Thus, the factored form of 24n - 32 using the GCF is 8(3n - 4).
To factor a given expression using the Greatest Common Factor (GCF), we need to find the highest common factor of all the terms. In this case, the expression is 24n - 32.
Step 1: Identify the GCF of the coefficients (numbers) of the terms.
The coefficient of the first term, 24n, is 24, and the coefficient of the second term, -32, is -32. The GCF of 24 and -32 is 8, as both numbers are divisible by 8.
Step 2: Identify the GCF of the variables.
The variable in both terms is "n". Since both terms have "n" as a common factor, we can take "n" as the GCF.
Step 3: Write the factored expression using the GCF.
The GCF of the coefficients is 8, and the GCF of the variables is "n". Therefore, the factored expression using the GCF is:
8n(3 - 4).
Simplified further, the factored expression becomes:
8n(-1).
So, the factored form of 24n - 32 using the GCF is 8n(-1).