How do you factorize 16a + 8?

To factorise 16a + 8, you need to find the greatest common factor (GCF) and factor it out.

First, identify the greatest common factor of the terms 16a and 8. The GCF is the largest number that divides both terms without leaving a remainder. In this case, the GCF of 16 and 8 is 8.

Next, express each term as a product of the GCF and another factor. For 16a, you can write it as 8 * 2a. For 8, you can write it as 8 * 1.

Now, factor out the GCF from both terms. This means you take the 8 out of each term and place it outside a set of parentheses. Inside the parentheses, you write the remaining factors. So, 16a + 8 becomes 8(2a + 1).

Therefore, the factorised form of 16a + 8 is 8(2a + 1). This method of factorising by finding the GCF and using it to simplify the expression is a fundamental skill in algebra that helps in solving equations and simplifying expressions.