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Find the smallest number by which 8788 be divided so that the quotient is a perfect square?
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Find the smallest number by which 8788 be divided so that the quotient...
We see that prime factor 2 does not occur in the group of 3, hence the given number is not a perfect cube.In order to make it a perfect cube , it must be divided by 4.
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Find the smallest number by which 8788 be divided so that the quotient...
Finding the Smallest Number to Divide 8788
Finding the smallest number by which 8788 can be divided to get a perfect square involves breaking down 8788 into its prime factors. Once we have the prime factors, we can determine the smallest number needed to make the quotient a perfect square.
Prime Factorization of 8788
- The prime factorization of 8788 is 2^2 * 47 * 47.
Finding the Smallest Number
- To make the quotient a perfect square, we need to balance out the prime factors.
- In this case, we have 2^2 * 47 * 47.
- To make it a perfect square, we need another factor of 2 to balance out the exponent of 2.
- Therefore, the smallest number by which 8788 should be divided is 2.
Explanation
- When 8788 is divided by 2, we get 4394, which is a perfect square (66^2).
- Dividing 8788 by 2 gives us the smallest number to make the quotient a perfect square.
In conclusion, the smallest number by which 8788 should be divided so that the quotient is a perfect square is 2.
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Find the smallest number by which 8788 be divided so that the quotient is a perfect square?
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Find the smallest number by which 8788 be divided so that the quotient is a perfect square? 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 Find the smallest number by which 8788 be divided so that the quotient is a perfect square? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the smallest number by which 8788 be divided so that the quotient is a perfect square?.
Find the smallest number by which 8788 be divided so that the quotient is a perfect square? 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 Find the smallest number by which 8788 be divided so that the quotient is a perfect square? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the smallest number by which 8788 be divided so that the quotient is a perfect square?.
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