Final answer:
The expression 4(8X + 5) has one factor, which is the number 4, and two terms inside the parenthesis, which are 8X and 5.
Step-by-step explanation:
The algebraic expression 4(8X + 5) contains a single factor outside the parenthesis and two terms inside the parenthesis. When we refer to the term 'factors' in this context, we're talking about numbers or expressions that are multiplied together. In this case, the number 4 is the factor that multiplies the entirety of the expression inside the parenthesis, which consists of two terms: 8X and 5.
To count the terms within the expression, we identify each part of the expression that is added or subtracted. Here, 8X and 5 are the two terms within the parentheses. Therefore, there are two terms in the expression 4(8X + 5). To count the number of factors, we look for elements that are multiplied by one another. In this case, there is only one explicit factor, which is the number 4 outside the parentheses; however, since multiplication is implicit between the 4 and the parentheses, we may also consider the entire expression inside the parentheses as a second factor. Thus, there can be said to be two factors if we recognize the parenthetical expression as a single factor being multiplied by 4.