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Find the smallest number by which 262 should be divided so that the number becomes a perfect square?
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Find the smallest number by which 262 should be divided so that the nu...
Smallest number to divide 262 to make a perfect square
To find the smallest number by which 262 should be divided so that the resulting number becomes a perfect square, we need to follow these steps:
1. Prime factorization of 262:
- 262 = 2 x 131
- The prime factors of 262 are 2 and 131.
2. Identifying the missing factor:
- To make 262 a perfect square, we need to find the missing factor that will complete the square.
- Since the prime factorization of 262 includes 2, we need another factor of 2 to make it a perfect square.
3. Determining the smallest number to divide 262:
- To find the smallest number by which 262 should be divided, we take the square root of 262 and multiply it by the missing factor.
- √262 ≈ 16.186
- The missing factor is 2.
- Therefore, the smallest number to divide 262 to make it a perfect square is 2.
4. Verification:
- When we divide 262 by 2, we get 131.
- 131 is a perfect square (11 x 11 = 121).
- Hence, dividing 262 by 2 results in a perfect square.
To find the smallest number by which 262 should be divided so that the resulting number becomes a perfect square, we need to follow these steps:
1. Prime factorization of 262:
- 262 = 2 x 131
- The prime factors of 262 are 2 and 131.
2. Identifying the missing factor:
- To make 262 a perfect square, we need to find the missing factor that will complete the square.
- Since the prime factorization of 262 includes 2, we need another factor of 2 to make it a perfect square.
3. Determining the smallest number to divide 262:
- To find the smallest number by which 262 should be divided, we take the square root of 262 and multiply it by the missing factor.
- √262 ≈ 16.186
- The missing factor is 2.
- Therefore, the smallest number to divide 262 to make it a perfect square is 2.
4. Verification:
- When we divide 262 by 2, we get 131.
- 131 is a perfect square (11 x 11 = 121).
- Hence, dividing 262 by 2 results in a perfect square.
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Find the smallest number by which 262 should be divided so that the number becomes a perfect square?
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Find the smallest number by which 262 should be divided so that the number becomes 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 262 should be divided so that the number becomes 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 262 should be divided so that the number becomes a perfect square?.
Find the smallest number by which 262 should be divided so that the number becomes 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 262 should be divided so that the number becomes 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 262 should be divided so that the number becomes a perfect square?.
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