Find the Prime Factorization 144

Problem

144

Solution

1. Divide the number by the smallest prime factor, which is 2

144÷2=72

2. Continue dividing the result by 2 as long as it remains even.

72÷2=36

36÷2=18

18÷2=9

3. Identify the next smallest prime factor for the remaining value, which is 3

9÷3=3

4. Divide by 3 one last time to reach 1

3÷3=1

5. Collect all the prime factors used in the divisions.

2⋅2⋅2⋅2⋅3⋅3

6. Write the factors in exponential form.

2⋅3

Final Answer

144=2⋅3

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