Factor 24N -32 using the GCF

Answer 1

To factor out the greatest common factor (GCF) of the expression 24N - 32, we first need to find the GCF of the two terms:

The prime factorization of 24 is: 2 * 2 * 2 * 3 = 2^3 * 3
The prime factorization of 32 is: 2 * 2 * 2 * 2 * 2 = 2^5

From the prime factorizations, we can see that the GCF of 24 and 32 is 2^3 = 8.

Now we can factor out the GCF from the expression:

24N - 32 = 8 * 3N - 8 * 4

Removing the common factor from both terms, we get:

= 8(3N - 4)

Therefore, 24N - 32 can be factored as 8(3N - 4)