Question

factor 50q + 10. write your answer as a product with a whole number greater than 1.

Explanation:

Step1: Find the GCF of 50q and 10

The factors of 50q are \(1, 2, 5, 10, 25, 50, q, 2q, 5q, 10q, 25q, 50q\) and the factors of 10 are \(1, 2, 5, 10\). The greatest common factor (GCF) greater than 1 is 10.

Step2: Factor out the GCF

Using the distributive property \(ab + ac = a(b + c)\), where \(a = 10\), \(b = 5q\), and \(c = 1\), we get \(50q + 10 = 10(5q + 1)\).

Answer:

\(10(5q + 1)\)