Write 45 + 36 using GCF and the distributive property (factored form).

To write the sum of 45 and 36 using GCF and the distributive property, we find the GCF, which is 9. Then we express the two numbers as products of 9 and sum them to get 9 times (5 + 4), resulting in 9 times 9, or 81. Thus, 45 + 36 = 9 × 9 = 81.
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Answered by Anonymous | 2025-07-04

To write the expression 45 + 36 using the Greatest Common Factor (GCF) and the distributive property, we need to follow these steps:

Find the GCF of 45 and 36:

List the factors of 45: 1 , 3 , 5 , 9 , 15 , 45 .
List the factors of 36: 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36 .
The greatest common factor is the largest number that appears in both lists, which is 9 .


Rewrite each number as a product of the GCF and another factor:

Divide 45 by 9: 45 ÷ 9 = 5 , so 45 = 9 × 5 .
Divide 36 by 9: 36 ÷ 9 = 4 , so 36 = 9 × 4 .


Use the distributive property to express the sum of 45 and 36:
The distributive property states that a ( b + c ) = ab + a c . Applying this, we have:
45 + 36 = 9 × 5 + 9 × 4 = 9 ( 5 + 4 )


So the expression 45 + 36 written in factored form using the GCF and the distributive property is 9 ( 5 + 4 ) .

Answered by LucasMatthewHarris | 2025-07-07