Question

which expression has both 8 and n as factors? 8 - n, 8 + n, 8n, 8 ÷ n

Explanation:

Step1: Recall factor definition

A factor of a product is a number or variable that multiplies with another to give the product. For an expression to have 8 and \( n \) as factors, it should be the product of 8 and \( n \).

Step2: Analyze each option

• \( 8 - n \): This is a difference, not a product of 8 and \( n \), so 8 and \( n \) are not factors.
• \( 8 + n \): This is a sum, not a product of 8 and \( n \), so 8 and \( n \) are not factors.
• \( 8n \): By the definition of multiplication, \( 8n = 8\times n \), so both 8 and \( n \) are factors of \( 8n \).
• \( 8\div n=\frac{8}{n} \): This is a quotient, not a product of 8 and \( n \), so 8 and \( n \) are not factors.

Answer:

\( 8n \) (the third option: \( 8n \))