Question

Write 28+24 as an product of two factors using gcf distributive property

Answer 1

To write 28 + 24 as a product of two factors using the GCF distributive property, find the GCF of the two numbers which is 4, and express the sum as 4 × (7 + 6). Simplify inside the bracket to get 4 × 13.

Step-by-step explanation:

To express the sum of 28 and 24 as a product of two factors using the greatest common factor (GCF) distributive property, we first identify the GCF of 28 and 24. The GCF of these two numbers is 4. We can then factor out the 4, and express each number as a multiple of 4:

• 28 is 4 × 7
• 24 is 4 × 6

Now we apply the distributive property:

28 + 24 = 4 × 7 + 4 × 6

Factor out the 4:

4 × (7 + 6)

Add the numbers inside the parenthesis:

4 × (13)

Therefore, 28 + 24 expressed as the product of two factors using the GCF and distributive property is 4 × 13.