Write the prime factorization of 275. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Question
Write the prime factorization of 275. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Solution
The prime factorization of a number is the expression of that number as a product of prime numbers. Here are the steps to find the prime factorization of 275:
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Start by dividing the number by the smallest prime number, which is 2. In this case, 275 is not divisible by 2, so we move on to the next prime number, which is 3.
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275 is also not divisible by 3. The next prime number is 5, and 275 is divisible by 5.
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Divide 275 by 5, which equals 55.
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Now, repeat the process with 55. It's not divisible by 2 or 3, but it is divisible by 5.
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Divide 55 by 5, which equals 11.
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11 is a prime number, so our process stops here.
So, the prime factorization of 275 is 5^2 * 11.
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