Question

factor 45p + 20. write your answer as a product with a whole number greater than 1.

Explanation:

Step1: Find GCF of 45 and 20

Factors of 45: 1, 3, 5, 9, 15, 45
Factors of 20: 1, 2, 4, 5, 10, 20
GCF is 5.

Step2: Divide each term by GCF

Divide \(45p\) by 5: \(\frac{45p}{5} = 9p\)
Divide 20 by 5: \(\frac{20}{5} = 4\)

Step3: Write as product of GCF and sum

Using distributive property \(ab + ac = a(b + c)\), we get:
\(5(9p + 4)\)

Answer:

\(5(9p + 4)\)