Question

Given the sum 100 equals 64 + 36 rewrite 64 + 36 using third GCF and multiplication A 2(32 + 18 ) B 4 (16 + 9) C 1 (64 + 36) D 4 (16x9)

Answer 1

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

1. **Prime factorization:**
- \(64 = 2^6\)
- \(36 = 2^2 \times 3^2\)

2. **Finding the GCF:**
- The common factor is \(2\), and the smallest power is \(2^2\).
- Thus, GCF = \(4\).

3. **Expressing \(64 + 36\) using the GCF:**
- Factoring out \(4\):
\[
64 + 36 = 4(16 + 9)
\]

Therefore, the rewritten form of \(64 + 36\) using the GCF of \(4\) is \(4(16 + 9)\).

Among the options given:
- A) \(2(32 + 18)\)
- B) \(4(16 + 9)\)
- C) \(1(64 + 36)\)
- D) \(4(16 \times 9)\)

The correct answer is **B: \(4(16 + 9)\)**.