Hills Kirk
09/10/2024 · High School
Find the prime factorization of 50.
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Step-by-step Solution
To find the prime factorization of 50, we can start by dividing it by the smallest prime number, which is 2.
1. \( 50 \div 2 = 25 \)
Next, we factor 25. The smallest prime number that can divide 25 is 5.
2. \( 25 \div 5 = 5 \)
Now, we can factor 5, which is also a prime number.
Putting it all together, we have:
\[
50 = 2 \times 5 \times 5
\]
This can also be written as:
\[
50 = 2 \times 5^2
\]
Thus, the prime factorization of 50 is \( 2 \times 5^2 \).
Quick Answer
The prime factorization of 50 is \( 2 \times 5^2 \).
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