Question

factor 10w + 16x. write your answer as a product with a whole number greater than 1.

Explanation:

Step1: Find the GCF of 10 and 16

The factors of 10 are \(1, 2, 5, 10\), and the factors of 16 are \(1, 2, 4, 8, 16\). The greatest common factor (GCF) of 10 and 16 is 2.

Step2: Factor out the GCF

Using the distributive property \(ab + ac = a(b + c)\), where \(a = 2\), \(b = 5w\), and \(c = 8x\) (since \(10w\div2 = 5w\) and \(16x\div2 = 8x\)), we get:
\(10w + 16x = 2(5w + 8x)\)

Answer:

\(2(5w + 8x)\)