Find the Prime Factorization 36

Problem

36

Solution

1. Identify the smallest prime number that divides the given number. Since 36 is even, it is divisible by 2.

36÷2=18

2. Repeat the process for the quotient. Since 18 is even, it is also divisible by 2.

18÷2=9

3. Identify the next smallest prime number for the new quotient. Since 9 is odd, we check 3.

9÷3=3

4. Continue until the quotient is a prime number. Since 3 is prime, the process is complete.

3÷3=1

5. Write the prime factors in exponential form by counting the occurrences of each prime.

2×2×3×3=2×3

Final Answer

36=2×3

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