To fully factorize the expression \( 12r + 16 \), follow these steps:

1. Identify the greatest common factor (GCF) of 12 and 16. The GCF of 12 and 16 is 4.
2. Factor out the GCF from the entire expression:

\[
12r + 16 = 4(3r + 4)
\]

Thus, the fully factorized form of \( 12r + 16 \) is:

\[
4(3r + 4)
\]

Would you like further details on factorization or any related questions?

Here are 5 related questions to explore:
1. How do you find the greatest common factor of two numbers?
2. What is the process for factoring quadratic expressions?
3. How would you factor a difference of squares?
4. What are prime factors, and how do they relate to factorization?
5. Can you factor polynomials with more than one variable?

**Tip:** Always check for the greatest common factor first when factoring expressions—it simplifies the process.

Learn how to fully factorize the algebraic expression 12r + 16 by finding the greatest common factor (GCF) and simplifying. This guide walks you through the process, with clear explanations for students in Grades 6-8.

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