1. The problem is to find the prime factorization of 16.
2. Prime factorization means expressing a number as a product of prime numbers.
3. Start by dividing 16 by the smallest prime number 2: $$16 \div 2 = 8$$
4. Divide 8 by 2 again: $$8 \div 2 = 4$$
5. Divide 4 by 2 again: $$4 \div 2 = 2$$
6. Divide 2 by 2 again: $$2 \div 2 = 1$$
7. Since we reached 1, the prime factors are all the 2's we divided by.
8. So, the prime factorization of 16 is $$2 \times 2 \times 2 \times 2 = 2^4$$
9. Final answer: $$16 = 2^4$$
Prime Factorization Fe54A3
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.