Question

Express the prime factorization of 54 as a product of prime numbers with exponents.(1 point)
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Answer 1

The prime factorization of 54 can be determined by dividing the number by the smallest prime numbers.

1. Start with 54, which is even, so divide by 2:
\(54 \div 2 = 27\)

2. Next, factor 27. The next smallest prime is 3:
\(27 \div 3 = 9\)
\(9 \div 3 = 3\)
\(3 \div 3 = 1\)

So, the complete factorization is:
\[ 54 = 2^1 \times 3^3 \]

Thus, the prime factorization of 54 as a product of prime numbers with exponents is:
\[ 2^1 \times 3^3 \]