The prime factorization of 7004, using the division method, is 2 x 2 x 1751, or 2² x 1751.
Let's break down how we arrive at that answer:
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Start with the number 7004.
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Divide by the smallest prime number, 2: 7004 / 2 = 3502. Since it divides evenly, 2 is a prime factor.
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Divide the result (3502) by 2 again: 3502 / 2 = 1751. Since it divides evenly again, 2 is a prime factor again.
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Check if 1751 is divisible by 2. It is not.
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Check the next prime number, 3. 1751 / 3 = 583.666... It is not divisible by 3.
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Continue checking prime numbers. The next prime numbers are 5, 7, 11, 13... We eventually find that 1751 is not divisible by any prime number smaller than itself.
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Therefore, 1751 is a prime number.
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The prime factorization is 2 x 2 x 1751, or 2² x 1751.
