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Why is it 2? for perfect cube factors of 4500.?
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Why is it 2? for perfect cube factors of 4500.?
Factors of 4500
To find the perfect cube factors of 4500, we first need to factorize 4500 into its prime factors.
Prime Factorization of 4500
- 4500 = 2 * 2 * 3 * 3 * 5 * 5 * 5
Identifying Perfect Cube Factors
To identify the perfect cube factors, we look for groups of three identical prime factors. In the prime factorization of 4500, we have:
- 2 appears twice
- 3 appears twice
- 5 appears three times
Perfect Cube Factors
Since we are looking for groups of three identical prime factors, the perfect cube factors of 4500 are:
- 2 * 2 * 2 = 8
- 3 * 3 * 3 = 27
- 5 * 5 * 5 = 125
Therefore, the perfect cube factors of 4500 are 8, 27, and 125. Among these, 2 is the smallest perfect cube factor, making it the answer to the question.
To find the perfect cube factors of 4500, we first need to factorize 4500 into its prime factors.
Prime Factorization of 4500
- 4500 = 2 * 2 * 3 * 3 * 5 * 5 * 5
Identifying Perfect Cube Factors
To identify the perfect cube factors, we look for groups of three identical prime factors. In the prime factorization of 4500, we have:
- 2 appears twice
- 3 appears twice
- 5 appears three times
Perfect Cube Factors
Since we are looking for groups of three identical prime factors, the perfect cube factors of 4500 are:
- 2 * 2 * 2 = 8
- 3 * 3 * 3 = 27
- 5 * 5 * 5 = 125
Therefore, the perfect cube factors of 4500 are 8, 27, and 125. Among these, 2 is the smallest perfect cube factor, making it the answer to the question.
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Why is it 2? for perfect cube factors of 4500.?
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Why is it 2? for perfect cube factors of 4500.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Why is it 2? for perfect cube factors of 4500.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Why is it 2? for perfect cube factors of 4500.?.
Why is it 2? for perfect cube factors of 4500.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Why is it 2? for perfect cube factors of 4500.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Why is it 2? for perfect cube factors of 4500.?.
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