Question
Which expression shows a way to factor 56+72?
Answers
GPT-4o mini
To factor the expression \(56 + 72\), we first look for the greatest common factor (GCF) of the two numbers.
1. The factors of 56 are: \(1, 2, 4, 7, 8, 14, 28, 56\).
2. The factors of 72 are: \(1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72\).
The common factors of 56 and 72 are \(1, 2, 4, 8\), with the greatest being \(8\).
Now, we can factor out \(8\) from both terms:
\[
56 + 72 = 8 \cdot 7 + 8 \cdot 9 = 8(7 + 9)
\]
So, the expression factored is:
\[
8(7 + 9)
\]
1. The factors of 56 are: \(1, 2, 4, 7, 8, 14, 28, 56\).
2. The factors of 72 are: \(1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72\).
The common factors of 56 and 72 are \(1, 2, 4, 8\), with the greatest being \(8\).
Now, we can factor out \(8\) from both terms:
\[
56 + 72 = 8 \cdot 7 + 8 \cdot 9 = 8(7 + 9)
\]
So, the expression factored is:
\[
8(7 + 9)
\]