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How is it coming 2 as the answer for perfect cube factors of 4500?
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How is it coming 2 as the answer for perfect cube factors of 4500?
Perfect Cube Factors of 4500: 2
Understanding Perfect Cubes:
- A perfect cube is a number that can be expressed as the cube of an integer.
- For example, 8 is a perfect cube because 2 * 2 * 2 = 8.
Finding Perfect Cube Factors of 4500:
- To find the perfect cube factors of 4500, we need to break down 4500 into its prime factors.
- Prime factorization of 4500:
- 4500 = 2 * 2 * 3 * 3 * 5 * 5 * 5
- 4500 = 2^2 * 3^2 * 5^3
Identifying Perfect Cube Factors:
- To find perfect cube factors, look for groups of three identical prime factors.
- In the prime factorization of 4500, we have:
- 2^2 (not a perfect cube factor)
- 3^2 (not a perfect cube factor)
- 5^3 (a perfect cube factor)
Conclusion:
- The only perfect cube factor of 4500 is 2.
- Therefore, 2 is the answer for perfect cube factors of 4500.
Understanding Perfect Cubes:
- A perfect cube is a number that can be expressed as the cube of an integer.
- For example, 8 is a perfect cube because 2 * 2 * 2 = 8.
Finding Perfect Cube Factors of 4500:
- To find the perfect cube factors of 4500, we need to break down 4500 into its prime factors.
- Prime factorization of 4500:
- 4500 = 2 * 2 * 3 * 3 * 5 * 5 * 5
- 4500 = 2^2 * 3^2 * 5^3
Identifying Perfect Cube Factors:
- To find perfect cube factors, look for groups of three identical prime factors.
- In the prime factorization of 4500, we have:
- 2^2 (not a perfect cube factor)
- 3^2 (not a perfect cube factor)
- 5^3 (a perfect cube factor)
Conclusion:
- The only perfect cube factor of 4500 is 2.
- Therefore, 2 is the answer for perfect cube factors of 4500.
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How is it coming 2 as the answer for perfect cube factors of 4500?
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How is it coming 2 as the answer 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 How is it coming 2 as the answer 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 How is it coming 2 as the answer for perfect cube factors of 4500?.
How is it coming 2 as the answer 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 How is it coming 2 as the answer 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 How is it coming 2 as the answer for perfect cube factors of 4500?.
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