Factor 24n−32 using the GCF.
To factor out the greatest common factor (GCF) of 24n−32, we first need to find the GCF of the two terms. The GCF of 24n and -32 is 8.
Therefore, we can factor out 8 from both terms:
8 * 3n - 8 * 4
This simplifies to:
8(3n - 4)
So, the factorization of 24n−32 using the GCF is 8(3n - 4).
what's answer
To factor the expression 24n - 32 using the greatest common factor (GCF), follow these steps:
Step 1: Find the GCF of the coefficients (numbers) in the expression.
The coefficients in the expression are 24 and -32. The GCF of 24 and -32 is 8.
Step 2: Write the GCF outside a set of parentheses and divide each term by the GCF.
The GCF is 8, so divide 24n by 8 to get 3n, and divide -32 by 8 to get -4.
Step 3: Write the remaining terms inside the parentheses.
After dividing each term by 8, the expression becomes:
8(3n - 4)
Therefore, the factored form 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: Identify the terms
The given expression has two terms: 24n and -32.
Step 2: Find the GCF
To find the GCF of the two terms, we can list the factors of both terms and find the largest common factor. Let's find the factors of 24n and -32:
Factors of 24n: 1, 2, 3, 4, 6, 8, 12, 24, n, 2n, 3n, 4n, 6n, 8n, 12n, 24n
Factors of -32: -1, -2, -4, -8, -16, -32
From these lists, we can see that the GCF of 24n and -32 is 8.
Step 3: Write the factored form
To factor 24n - 32 using the GCF of 8, we divide each term by the GCF and write the factored form:
(24n ÷ 8) - (32 ÷ 8)
This simplifies to:
3n - 4
Therefore, the factored form of 24n - 32 using the GCF is 3n - 4.