1. The problem asks for the prime factorization of 112. 2. Prime factorization means expressing a number as a product of prime numbers only. 3. Start by dividing 112 by the smallest prime number 2: $$112 \div 2 = 56$$ 4. Divide 56 by 2 again: $$56 \div 2 = 28$$ 5. Divide 28 by 2 again: $$28 \div 2 = 14$$ 6. Divide 14 by 2 again: $$14 \div 2 = 7$$ 7. Now 7 is a prime number, so we stop here. 8. Collecting all prime factors, we have: $$112 = 2 \times 2 \times 2 \times 2 \times 7$$ 9. In exponential form, this is: $$112 = 2^{4} \times 7$$ 10. Therefore, the prime factorization of 112 is $2 \times 2 \times 2 \times 2 \times 7$. The correct choice from the options is: 2 × 2 × 2 × 2 × 7.