Determine the prime factorization of 216 . Use exponents to show ited prime factor, if necessary. $$ 216=\square $$

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$$ 216 = 2^3 \times 3^3 $$ To determine the prime factorization of 216, we can start by dividing it by the smallest prime numbers. 1. **Divide by 2** (the smallest prime): $$ 216 \div 2 = 108 $$ 2. **Divide by 2 again**: $$ 108 \div 2 = 54 $$ 3. **Divide by 2 again**: $$ 54 \div 2 = 27 $$ 4. **Now, divide by 3** (the next smallest prime): $$ 27 \div 3 = 9 $$ 5. **Divide by 3 again**: $$ 9 \div 3 = 3 $$ 6. **Finally, divide by 3 one more time**: $$ 3 \div 3 = 1 $$ Now, we can summarize the prime factors we used: - We divided by 2 three times: $$2^3$$ - We divided by 3 three times: $$3^3$$ Putting it all together, the prime factorization of 216 is: $$ 216 = 2^3 \times 3^3 $$ Thus, the final answer is: $$ 216 = 2^3 \times 3^3 $$

Determine the prime factorization of 216 . Use exponents to show ited prime factor, if necessary. \( 216=\square \)

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Determine the prime factorization of 216 . Use exponents to show ited prime factor, if necessary. \( 216=\square \)

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