Factor 24n−32

Question

using the GCF

Answer 1

To factor the expression \(24n - 32\) using the greatest common factor (GCF), follow these steps:

1. Find the GCF of the coefficients: The coefficients are 24 and 32. The GCF of 24 and 32 is 8.

2. Factor out the GCF: Divide each term by the GCF (8):

   • \(24n \div 8 = 3n\)
   • \(32 \div 8 = 4\)

3. Write the factored expression: \[ 24n - 32 = 8(3n - 4) \]

So, the factored form of \(24n - 32\) is \(8(3n - 4)\).