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)