Find the Prime Factorization 28

Problem

28

Solution

1. Identify the smallest prime number that divides the given number, which is 2

2. Divide the number by that prime factor: 28÷2=14

3. Repeat the process for the quotient 14 Since 14 is even, divide by 2 again: 14÷2=7

4. Identify that 7 is a prime number, so the division process ends.

5. Write the result as a product of the prime factors found: 2×2×7

6. Express the repeated factors using exponents: 2×7

Final Answer

28=2×7

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