Question

Question

Given the sum 100=64+36
, rewrite 64+36
using their GCF and multiplication.(1 point)
Responses

4(16×9)
4 left parenthesis 16 times 19 right parenthesis

1(64+36)
1 left parenthesis 64 plus 36 right parenthesis

4(16+9)
4 left parenthesis 16 plus 9 right parenthesis

2(32+18)

Answer 1

To rewrite \(64 + 36\) using their greatest common factor (GCF) and multiplication, we first find the GCF of 64 and 36.

The prime factorizations are:

• \(64 = 2^6\)
• \(36 = 2^2 \times 3^2\)

The GCF is \(2^2 = 4\).

Now we can factor out \(4\) from \(64 + 36\): \[ 64 + 36 = 4(16 + 9) \]

Therefore, the correct response is: 4(16 + 9)