Find the Prime Factorization 54

Problem

54

Solution

1. Identify the smallest prime number that divides the given number. Since 54 is even, it is divisible by 2

54=2×27

2. Divide the resulting quotient by its smallest prime factor. The number 27 is odd, so it is not divisible by 2 The sum of its digits is 2 + 7 = 9,w*h*i*c*h*i*s(d(i))*v*i*s(i)*b*l*e*b*y$.

27=3×9

3. Continue factoring the remaining composite numbers. The number 9 is divisible by 3

9=3×3

4. Collect all the prime factors found in the previous steps. The prime factors are 2 3 3 and 3

54=2×3×3×3

5. Write the result using exponents to group identical prime factors.

54=2×3

Final Answer

54=2×3

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