1. **State the problem:** Fully factorise the expression $8p + 12$. 2. **Identify the greatest common factor (GCF):** The coefficients are 8 and 12. The GCF of 8 and 12 is 4. 3. **Apply the distributive property:** We can factor out 4 from both terms: $$8p + 12 = 4 \times 2p + 4 \times 3$$ 4. **Write the factored form:** $$8p + 12 = 4(2p + 3)$$ 5. **Explanation:** Factoring means expressing the expression as a product of its factors. Here, 4 is the common factor that divides both terms evenly, so we factor it out to simplify the expression. **Final answer:** $$\boxed{4(2p + 3)}$$