Find the Prime Factorization 32

Problem

32

Solution

1. Identify the smallest prime number that divides the given number. Since 32 is even, it is divisible by 2.

32=2×16

2. Divide the resulting quotient by its smallest prime factor. 16 is also even and divisible by 2.

16=2×8

3. Continue the process of dividing each subsequent quotient by 2 until the quotient is a prime number.

8=2×4

4=2×2

4. Count the number of times the prime factor 2 appears in the factorization.

32=2×2×2×2×2

5. Write the final prime factorization using exponential notation.

32=2

Final Answer

32=2

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