Question

What is the result of factoring out the GCF from the expression (24 + 36)?

A. 12 × (12 + 18)
B. 12 × (2 + 3)
C. 6 × (8 + 12)
D. 12 × (4 + 6)

Answer 1

24 = 2 · 2 · 2 · 3

36 = 2 · 2 · 3 · 3

GCF(24, 36) = 2 · 2 · 3 = 12

24 = 12 · 2

36 = 12 ·3

24 + 36 = 12 × 2 + 12 × 3 = 12 × (2 + 3)

Answer: B.