Problem

Find the prime factorization of the composite number.
\[
4860
\]
\[
4860=
\]

Answer

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Answer

Final Answer: \(\boxed{4860 = 2^2 * 3^5 * 5}\)

Steps

Step 1 :The prime factorization of a number is the expression of that number as a product of prime numbers. To find the prime factorization of 4860, we need to divide it by prime numbers starting from the smallest prime number, which is 2, until we can't divide it anymore.

Step 2 :The prime factors of 4860 are [2, 2, 3, 3, 3, 3, 3, 5].

Step 3 :The prime factorization of 4860 is \(2 * 2 * 3 * 3 * 3 * 3 * 3 * 5\). This means that 4860 can be expressed as a product of these prime numbers.

Step 4 :Final Answer: \(\boxed{4860 = 2^2 * 3^5 * 5}\)

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