Question

factor 50w + 70.
write your answer as a product with a whole number greater than 1.

Explanation:

Step1: Find GCF of 50 and 70

The factors of 50 are \(1, 2, 5, 10, 25, 50\), and factors of 70 are \(1, 2, 5, 7, 10, 14, 35, 70\). The greatest common factor (GCF) is 10.

Step2: Factor out GCF

Using the distributive property \(ab + ac = a(b + c)\), factor out 10 from \(50w + 70\):
\(50w + 70 = 10(5w + 7)\)

Answer:

\(10(5w + 7)\)