Estrada Willis
04/28/2024 · Middle School
What is the prime factorization of 60?
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Step-by-step Solution
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 \(2^2 \times 3 \times 5\).
Quick Answer
The prime factorization of 60 is \(2^2 \times 3 \times 5\).
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