Find the Prime Factorization 44

Problem

44

Solution

1. Identify the smallest prime number that divides the given number. Since 44 is even, it is divisible by 2.

2. Divide 44 by 2 to find the next factor.

44÷2=22

3. Repeat the process for the quotient 22. Since 22 is even, it is also divisible by 2.

22÷2=11

4. Identify if the remaining quotient is prime. Since 11 is a prime number, the process is complete.

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

2×2×11

6. Simplify the expression using exponents.

2×11

Final Answer

44=2×11

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