Question

factor 48r + 8. write your answer as a product with a whole number greater than 1.

Explanation:

Step1: Find the GCF of 48 and 8

The factors of 48 are \(1, 2, 3, 4, 6, 8, 12, 16, 24, 48\), and the factors of 8 are \(1, 2, 4, 8\). The greatest common factor (GCF) of 48 and 8 is 8.

Step2: Factor out the GCF

Using the distributive property \(ab + ac = a(b + c)\), where \(a = 8\), \(b = 6r\) (since \(48r\div8 = 6r\)), and \(c = 1\) (since \(8\div8 = 1\)), we get \(8(6r + 1)\).

Answer:

\(8(6r + 1)\)