Find the Prime Factorization 27

Problem

27

Solution

1. Identify the smallest prime number that divides the given number. Since 27 is odd, it is not divisible by 2

2. Divide by the next prime number, which is 3

27÷3=9

3. Continue dividing the resulting quotient by 3 until the quotient is a prime number or 1

9÷3=3

4. Divide the final 3 by itself.

3÷3=1

5. Express the number as a product of the prime factors found.

27=3×3×3

6. Simplify the expression using exponents.

27=3

Final Answer

27=3

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