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What is the least number by which 273375 is to be divided so that the quotient is a perfect cube. A) 49 B) 25 C) 81 D) 27?
Most Upvoted Answer
What is the least number by which 273375 is to be divided so that the ...
Solution:
To obtain the perfect cube, we need to divide 273375 by a number that is a perfect square and also a multiple of 3.
Prime factorization of 273375 is 3 × 3 × 5 × 5 × 7 × 13 × 13.
To make it a perfect cube, we need to form a group of three same prime factors.
Therefore, we need to add one more factor of 3 and one more factor of 5 to get a perfect cube.
So, the least number by which 273375 is to be divided so that the quotient is a perfect cube is 3 × 3 × 3 × 5 × 5 = 2025.
Therefore, the answer is (C) 81.
HTML code:
To obtain the perfect cube, we need to divide 273375 by a number that is a perfect square and also a multiple of 3.
Prime factorization of 273375 is 3 × 3 × 5 × 5 × 7 × 13 × 13.
To make it a perfect cube, we need to form a group of three same prime factors.
Therefore, we need to add one more factor of 3 and one more factor of 5 to get a perfect cube.
So, the least number by which 273375 is to be divided so that the quotient is a perfect cube is 3 × 3 × 3 × 5 × 5 = 2025.
Therefore, the answer is (C) 81.
HTML code:
Solution:
- Prime factorization of 273375 is 3 × 3 × 5 × 5 × 7 × 13 × 13.
- To make it a perfect cube, we need to form a group of three same prime factors.
- Therefore, we need to add one more factor of 3 and one more factor of 5 to get a perfect cube.
- So, the least number by which 273375 is to be divided so that the quotient is a perfect cube is 3 × 3 × 3 × 5 × 5 = 2025.
- Therefore, the answer is (C) 81.
Community Answer
What is the least number by which 273375 is to be divided so that the ...
81.
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What is the least number by which 273375 is to be divided so that the quotient is a perfect cube. A) 49 B) 25 C) 81 D) 27?
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What is the least number by which 273375 is to be divided so that the quotient is a perfect cube. A) 49 B) 25 C) 81 D) 27? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about What is the least number by which 273375 is to be divided so that the quotient is a perfect cube. A) 49 B) 25 C) 81 D) 27? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the least number by which 273375 is to be divided so that the quotient is a perfect cube. A) 49 B) 25 C) 81 D) 27?.
What is the least number by which 273375 is to be divided so that the quotient is a perfect cube. A) 49 B) 25 C) 81 D) 27? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about What is the least number by which 273375 is to be divided so that the quotient is a perfect cube. A) 49 B) 25 C) 81 D) 27? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the least number by which 273375 is to be divided so that the quotient is a perfect cube. A) 49 B) 25 C) 81 D) 27?.
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