Find the Prime Factorization 12

Problem

12

Solution

1. Identify the smallest prime number that divides the given number. Since 12 is even, the smallest prime factor is 2.

2. Divide 12 by 2 to find the next factor.

12÷2=6

3. Repeat the process for the quotient 6. Since 6 is even, divide it by 2 again.

6÷2=3

4. Identify the remaining factor. The number 3 is a prime number, so the division process is complete.

5. Write the prime factorization as a product of the prime factors found.

2×2×3

6. Simplify the expression using exponents.

2×3

Final Answer

12=2×3

Want more problems? Check here!