Find the Prime Factorization 81

Problem

81

Solution

1. Identify the smallest prime number that divides the given number. Since 81 is odd, it is not divisible by 2

2. Check for divisibility by 3 The sum of the digits 8 + 1 = 9i*s(d(i))*v*i*s(i)*b*l*e*b*y,s(o)1i*s(d(i))*v*i*s(i)*b*l*e*b*y$.

3. Divide 81 by 3 to find the next factor.

81=3×27

4. Continue factoring the resulting number 27 by dividing by 3 again.

27=3×9

5. Factor the number 9 into its prime components.

9=3×3

6. Collect all the prime factors together.

81=3×3×3×3

7. Write the result using exponential notation.

81=3

Final Answer

81=3

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