Find the Prime Factorization 52

Problem

52

Solution

1. Identify the smallest prime number that divides the given number. Since 52 is even, it is divisible by 2

2. Divide the number by that prime factor:

52÷2=26

3. Repeat the process for the quotient. Since 26 is even, divide by 2 again:

26÷2=13

4. Check the new quotient. Since 13 is a prime number, the process is complete.

5. Write the result as a product of prime factors, using exponents for repeated factors:

2⋅2⋅13=2⋅13

Final Answer

52=2⋅13

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