1. **State the problem:** Factorise the expression $6p + 4$ completely. 2. **Identify common factors:** Look for the greatest common factor (GCF) of the terms $6p$ and $4$. 3. **Calculate the GCF:** - Factors of $6p$ are $6$ and $p$. - Factors of $4$ are $4$. - The GCF of $6$ and $4$ is $2$. 4. **Factor out the GCF:** $$6p + 4 = 2 \times 3p + 2 \times 2 = 2(3p + 2)$$ 5. **Check for further factorisation:** The expression inside the parentheses $3p + 2$ cannot be factored further. 6. **Final answer:** $$\boxed{2(3p + 2)}$$