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Number of perfect square factors of number 4500 = 2 x 2 x 2 = 8 Number of perfect cube factors of number 4500 = 1 x 1 x 2 = 2?
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Number of perfect square factors of number 4500 = 2 x 2 x 2 = 8 Number...
Perfect Square Factors of 4500
- The prime factorization of 4500 is 2 x 2 x 3 x 3 x 5 x 5 = 2^2 x 3^2 x 5^2
- To find the number of perfect square factors, we divide the powers of the prime factors by 2 and add 1 to each quotient
- The perfect square factors of 4500 are (2^0 x 3^0 x 5^0), (2^1 x 3^0 x 5^0), (2^0 x 3^1 x 5^0), (2^1 x 3^1 x 5^0), (2^0 x 3^0 x 5^1), (2^1 x 3^0 x 5^1), (2^0 x 3^1 x 5^1), (2^1 x 3^1 x 5^1)
- There are 8 perfect square factors of 4500
Perfect Cube Factors of 4500
- To find the number of perfect cube factors, we divide the powers of the prime factors by 3 and add 1 to each quotient
- The perfect cube factors of 4500 are (2^0 x 3^0 x 5^0), (2^1 x 3^0 x 5^0)
- There are 2 perfect cube factors of 4500
In conclusion, the number of perfect square factors of 4500 is 8, and the number of perfect cube factors is 2. The process involves dividing the powers of prime factors by 2 for perfect squares and by 3 for perfect cubes, and adding 1 to each quotient to find the total number of factors.
- The prime factorization of 4500 is 2 x 2 x 3 x 3 x 5 x 5 = 2^2 x 3^2 x 5^2
- To find the number of perfect square factors, we divide the powers of the prime factors by 2 and add 1 to each quotient
- The perfect square factors of 4500 are (2^0 x 3^0 x 5^0), (2^1 x 3^0 x 5^0), (2^0 x 3^1 x 5^0), (2^1 x 3^1 x 5^0), (2^0 x 3^0 x 5^1), (2^1 x 3^0 x 5^1), (2^0 x 3^1 x 5^1), (2^1 x 3^1 x 5^1)
- There are 8 perfect square factors of 4500
Perfect Cube Factors of 4500
- To find the number of perfect cube factors, we divide the powers of the prime factors by 3 and add 1 to each quotient
- The perfect cube factors of 4500 are (2^0 x 3^0 x 5^0), (2^1 x 3^0 x 5^0)
- There are 2 perfect cube factors of 4500
In conclusion, the number of perfect square factors of 4500 is 8, and the number of perfect cube factors is 2. The process involves dividing the powers of prime factors by 2 for perfect squares and by 3 for perfect cubes, and adding 1 to each quotient to find the total number of factors.
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Number of perfect square factors of number 4500 = 2 x 2 x 2 = 8 Number of perfect cube factors of number 4500 = 1 x 1 x 2 = 2?
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Number of perfect square factors of number 4500 = 2 x 2 x 2 = 8 Number of perfect cube factors of number 4500 = 1 x 1 x 2 = 2? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Number of perfect square factors of number 4500 = 2 x 2 x 2 = 8 Number of perfect cube factors of number 4500 = 1 x 1 x 2 = 2? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Number of perfect square factors of number 4500 = 2 x 2 x 2 = 8 Number of perfect cube factors of number 4500 = 1 x 1 x 2 = 2?.
Number of perfect square factors of number 4500 = 2 x 2 x 2 = 8 Number of perfect cube factors of number 4500 = 1 x 1 x 2 = 2? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Number of perfect square factors of number 4500 = 2 x 2 x 2 = 8 Number of perfect cube factors of number 4500 = 1 x 1 x 2 = 2? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Number of perfect square factors of number 4500 = 2 x 2 x 2 = 8 Number of perfect cube factors of number 4500 = 1 x 1 x 2 = 2?.
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