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Find smallest whole number by long division method on2120 to make it perfect square?
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Smallest Whole Number to Make a Perfect Square
To find the smallest whole number by long division method on 2120 to make it a perfect square, we need to follow the steps below:
Step 1: Prime Factorization of 2120
- Start by finding the prime factors of 2120.
- Prime factorization of 2120 = 2 x 2 x 2 x 5 x 53.
Step 2: Pairing the Factors
- Pair the factors in such a way that each pair has equal factors.
- In this case, we can pair 2 x 2 x 2 together to get 2^3 = 8.
- The remaining factors after pairing are 5 and 53.
Step 3: Finding the Smallest Whole Number
- To make 2120 a perfect square, we need to multiply it by the missing factor.
- The missing factor is the square of the smallest prime number that can be paired with the remaining factors.
- The smallest prime number is 3, so the missing factor is 3^2 = 9.
Step 4: Multiplying to Get the Perfect Square
- Multiply 2120 by 9 to get the perfect square.
- 2120 x 9 = 19080.
Therefore, the smallest whole number that can be multiplied by 2120 to make it a perfect square is 9, resulting in the perfect square of 19080.
To find the smallest whole number by long division method on 2120 to make it a perfect square, we need to follow the steps below:
Step 1: Prime Factorization of 2120
- Start by finding the prime factors of 2120.
- Prime factorization of 2120 = 2 x 2 x 2 x 5 x 53.
Step 2: Pairing the Factors
- Pair the factors in such a way that each pair has equal factors.
- In this case, we can pair 2 x 2 x 2 together to get 2^3 = 8.
- The remaining factors after pairing are 5 and 53.
Step 3: Finding the Smallest Whole Number
- To make 2120 a perfect square, we need to multiply it by the missing factor.
- The missing factor is the square of the smallest prime number that can be paired with the remaining factors.
- The smallest prime number is 3, so the missing factor is 3^2 = 9.
Step 4: Multiplying to Get the Perfect Square
- Multiply 2120 by 9 to get the perfect square.
- 2120 x 9 = 19080.
Therefore, the smallest whole number that can be multiplied by 2120 to make it a perfect square is 9, resulting in the perfect square of 19080.
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Find smallest whole number by long division method on2120 to make it perfect square? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find smallest whole number by long division method on2120 to make it perfect square? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find smallest whole number by long division method on2120 to make it perfect square?.
Find smallest whole number by long division method on2120 to make it perfect square? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find smallest whole number by long division method on2120 to make it perfect square? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find smallest whole number by long division method on2120 to make it perfect square?.
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