Final answer:
The sum 26 + 39 can be expressed as a product by using their GCF, which is 13, and applying the Distributive Property to get 26 + 39 = 13 × (2 + 3) = 65.
Step-by-step explanation:
Writing the sum of 26 and 39 as a product using the Greatest Common Factor (GCF) as a factor involves first finding the GCF of the two numbers.
The GCF of 26 and 39 is 13.
Once we have the GCF, we can express both numbers as multiples of 13: 26 is 2 times 13 and 39 is 3 times 13.
Using the Distributive Property, we can then factor out the GCF and write the expression as:
26 + 39 = (2 × 13) + (3 × 13) = 13 × (2 + 3) = 13 × 5 = 65.
The process is consistent with the properties of multiplication of exponentials, which involves multiplying the digit terms and adding the exponents of the exponential terms when dealing with the same base.