Question
Given the sum 77=22+55
, rewrite 22+55
using their GCF and multiplication.(1 point)
Responses
11(2+5)
11 left parenthesis 2 plus 5 right parenthesis
2(11+5)
2 left parenthesis 11 plus 5 right parenthesis
11(2×5)
11 left parenthesis 2 times 5 right parenthesis
1(22+55)
, rewrite 22+55
using their GCF and multiplication.(1 point)
Responses
11(2+5)
11 left parenthesis 2 plus 5 right parenthesis
2(11+5)
2 left parenthesis 11 plus 5 right parenthesis
11(2×5)
11 left parenthesis 2 times 5 right parenthesis
1(22+55)
Answers
GPT-4o mini
To rewrite \( 22 + 55 \) using their greatest common factor (GCF), we first need to determine the GCF of 22 and 55.
The GCF of 22 and 55 can be found as follows:
- The prime factorization of 22 is \( 2 \times 11 \).
- The prime factorization of 55 is \( 5 \times 11 \).
The common factor is \( 11 \).
Now we can express the original sum \( 22 + 55 \) as:
\[
22 + 55 = 11(2 + 5)
\]
So the correct response is:
**11(2 + 5)**.
The GCF of 22 and 55 can be found as follows:
- The prime factorization of 22 is \( 2 \times 11 \).
- The prime factorization of 55 is \( 5 \times 11 \).
The common factor is \( 11 \).
Now we can express the original sum \( 22 + 55 \) as:
\[
22 + 55 = 11(2 + 5)
\]
So the correct response is:
**11(2 + 5)**.