Question

what is the prime factorization of 28?

Explanation:

Step1: Start with smallest prime

Divide 28 by 2 (smallest prime). $28 \div 2 = 14$.

Step2: Divide quotient by 2

Divide 14 by 2. $14 \div 2 = 7$.

Step3: Check if 7 is prime

7 is a prime number, so we stop.

Step4: Write prime factors

Multiply the prime divisors: $2 \times 2 \times 7 = 2^2 \times 7$.

Answer:

The prime factorization of 28 is $2^2 \times 7$ (or 2 × 2 × 7).