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2 x 5 x 5 = 50

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Q: What is the prime factorization of square root of 2500?
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Two ways: Find the square root first. If it's a whole number, find the prime factorization like you would for any other number. Or, find the prime factorization of the original number. The factors will be paired. Take one out of of each pair. Example: 900 The square root of 900 is 30. The prime factorization of 30 is 2 x 3 x 5 or The prime factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5 The square root will be 2 x 3 x 5, or 30