Find the Prime Factorization 72

Problem

72

Solution

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

72÷2=36

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

36÷2=18

3. Divide by 2 again.

18÷2=9

4. Move to the next prime number, which is 3 since 9 is no longer divisible by 2

9÷3=3

5. Divide by 3 one last time to reach 1

3÷3=1

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

2⋅2⋅2⋅3⋅3

7. Write the factors in exponential form.

2⋅3

Final Answer

72=2⋅3

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