Question
Write the prime factorization of 320 . Use exponents when appropriate and order the from least to greatest (for example, \( 2^{2} \cdot 3 \cdot 5 \) ).
Ask by Ramirez Campbell. in the United States
Mar 07,2025
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Answer
The prime factorization of 320 is \(2^6 \cdot 5\).
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To find the prime factorization of 320, we start by dividing by the smallest prime number, 2. We can divide 320 by 2 repeatedly until we reach a prime number: 1. \( 320 \div 2 = 160 \) 2. \( 160 \div 2 = 80 \) 3. \( 80 \div 2 = 40 \) 4. \( 40 \div 2 = 20 \) 5. \( 20 \div 2 = 10 \) 6. \( 10 \div 2 = 5 \) (5 is a prime number) Now we can write the factorization as \( 2^6 \cdot 5 \). So, the prime factorization of 320 is \( 2^{6} \cdot 5 \).