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Find the least number by which 648 has to be multiplied to make it a perfect square?
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Find the least number by which 648 has to be multiplied to make it a p...
Factors of 648:
- The prime factorization of 648 is 2^3 * 3^4.
Finding the Least Number to Make 648 a Perfect Square:
- To make 648 a perfect square, we need to pair up its prime factors.
- Since we have three 2's and four 3's in the prime factorization of 648, we need to pair them up in such a way that each factor is paired with its same factor to make a perfect square.
- Pairing up the factors, we get 2^2 * 3^2 = 36.
- Therefore, the least number by which 648 has to be multiplied to make it a perfect square is 36.
Explanation:
- When we multiply 648 by 36, we get 648 * 36 = 23328, which is a perfect square (sqrt(23328) = 48).
- By multiplying 648 by 36, we essentially complete the missing factors needed to make 648 a perfect square.
- This process ensures that each prime factor in the prime factorization of 648 is paired up with its same factor to create a perfect square.
- The prime factorization of 648 is 2^3 * 3^4.
Finding the Least Number to Make 648 a Perfect Square:
- To make 648 a perfect square, we need to pair up its prime factors.
- Since we have three 2's and four 3's in the prime factorization of 648, we need to pair them up in such a way that each factor is paired with its same factor to make a perfect square.
- Pairing up the factors, we get 2^2 * 3^2 = 36.
- Therefore, the least number by which 648 has to be multiplied to make it a perfect square is 36.
Explanation:
- When we multiply 648 by 36, we get 648 * 36 = 23328, which is a perfect square (sqrt(23328) = 48).
- By multiplying 648 by 36, we essentially complete the missing factors needed to make 648 a perfect square.
- This process ensures that each prime factor in the prime factorization of 648 is paired up with its same factor to create a perfect square.
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Find the least number by which 648 has to be multiplied to make it a perfect square?
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Find the least number by which 648 has to be multiplied to make it 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 least number by which 648 has to be multiplied to make it 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 least number by which 648 has to be multiplied to make it a perfect square?.
Find the least number by which 648 has to be multiplied to make it 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 least number by which 648 has to be multiplied to make it 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 least number by which 648 has to be multiplied to make it a perfect square?.
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