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Is 53241 a perfect cube?if not then by which smallest natural number should 53241 be divided so quotient is perfect cube?
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Is 53241 a perfect cube?if not then by which smallest natural number s...
**Is 53241 a perfect cube?**
To find out whether 53241 is a perfect cube or not, we need to take the cube root of 53241.
∛53241 = 37.
Since 37 is not a whole number, 53241 is not a perfect cube.
**By which smallest natural number should 53241 be divided so quotient is perfect cube?**
To find the smallest natural number by which 53241 should be divided so that the quotient is a perfect cube, we need to factorize 53241 into its prime factors.
53241 = 3 × 17747.
Now, we need to find the smallest natural number that can be multiplied with 3 to get a perfect cube.
The prime factorization of the smallest cube greater than 3 is 2³ × 3² = 72.
We can see that 72 is a multiple of 3, so we need to divide 17747 by 72 to get a perfect cube.
17747 ÷ 72 = 246.
246 is a perfect cube of 6.
Therefore, the smallest natural number by which 53241 should be divided so that the quotient is a perfect cube is 72. The quotient would be 246, which is a perfect cube of 6.
To find out whether 53241 is a perfect cube or not, we need to take the cube root of 53241.
∛53241 = 37.
Since 37 is not a whole number, 53241 is not a perfect cube.
**By which smallest natural number should 53241 be divided so quotient is perfect cube?**
To find the smallest natural number by which 53241 should be divided so that the quotient is a perfect cube, we need to factorize 53241 into its prime factors.
53241 = 3 × 17747.
Now, we need to find the smallest natural number that can be multiplied with 3 to get a perfect cube.
The prime factorization of the smallest cube greater than 3 is 2³ × 3² = 72.
We can see that 72 is a multiple of 3, so we need to divide 17747 by 72 to get a perfect cube.
17747 ÷ 72 = 246.
246 is a perfect cube of 6.
Therefore, the smallest natural number by which 53241 should be divided so that the quotient is a perfect cube is 72. The quotient would be 246, which is a perfect cube of 6.
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Is 53241 a perfect cube?if not then by which smallest natural number should 53241 be divided so quotient is perfect cube?
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Is 53241 a perfect cube?if not then by which smallest natural number should 53241 be divided so quotient is perfect cube? 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 Is 53241 a perfect cube?if not then by which smallest natural number should 53241 be divided so quotient is perfect cube? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is 53241 a perfect cube?if not then by which smallest natural number should 53241 be divided so quotient is perfect cube?.
Is 53241 a perfect cube?if not then by which smallest natural number should 53241 be divided so quotient is perfect cube? 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 Is 53241 a perfect cube?if not then by which smallest natural number should 53241 be divided so quotient is perfect cube? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is 53241 a perfect cube?if not then by which smallest natural number should 53241 be divided so quotient is perfect cube?.
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