Estrada Willis
04/28/2024 · Middle School

What is the prime factorization of 60?

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The prime factorization of 60 can be found by dividing it by the smallest prime numbers. Here’s how it works: 1. Start with 60. The smallest prime number is 2. 2. Divide 60 by 2: \[ 60 \div 2 = 30 \] 3. Divide 30 by 2 again: \[ 30 \div 2 = 15 \] 4. Now, 15 is not divisible by 2, so we move to the next prime number, which is 3. 5. Divide 15 by 3: \[ 15 \div 3 = 5 \] 6. Finally, 5 is a prime number. Putting it all together, we have: \[ 60 = 2 \times 2 \times 3 \times 5 \] This can also be written using exponents: \[ 60 = 2^2 \times 3^1 \times 5^1 \] So, the prime factorization of 60 is \(2^2 \times 3 \times 5\).

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The prime factorization of 60 is \(2^2 \times 3 \times 5\).
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