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 times 5 right parenthesis

11(2+5)
11 left parenthesis 2 plus 5 right parenthesis

2(11+5)
2 left parenthesis 11 plus 5 right parenthesis

1(22+55)

Answer 1

To rewrite \( 22 + 55 \) using their greatest common factor (GCF) and multiplication, we first find the GCF of 22 and 55.

The prime factorization of 22 is \( 2 \times 11 \) and the prime factorization of 55 is \( 5 \times 11 \).

The GCF is \( 11 \).

Now we can factor \( 22 + 55 \) as follows:

\[
22 + 55 = 11(2 + 5)
\]

Therefore, the correct response is:

**11(2+5)**