UPSC Exam > UPSC Questions > From which smallest number we will multiply o...
Start Learning for Free
From which smallest number we will multiply or divide 539 to get a perfect square?
Most Upvoted Answer
From which smallest number we will multiply or divide 539 to get a per...
Identifying the Smallest Number to Multiply or Divide 539 to Get a Perfect Square
To find the smallest number we can multiply or divide 539 by to get a perfect square, we need to follow a systematic approach.
1. Prime Factorization of 539
First, let's find the prime factorization of 539:
539 = 7 x 7 x 11
2. Identifying the Perfect Square Factors
In order to make 539 a perfect square, we need to balance the factors of 539 by multiplying or dividing them with the smallest number possible. Since 539 already has two 7's, the perfect square factor that is missing is 11.
3. Multiplying 539 by the Smallest Number
To make 539 a perfect square, we need to multiply it by the missing factor, which is 11. Therefore, 539 x 11 = 5929, which is a perfect square of 77.
4. Conclusion
Therefore, the smallest number we need to multiply 539 by to get a perfect square is 11. By multiplying 539 by 11, we obtain the perfect square 5929.
To find the smallest number we can multiply or divide 539 by to get a perfect square, we need to follow a systematic approach.
1. Prime Factorization of 539
First, let's find the prime factorization of 539:
539 = 7 x 7 x 11
2. Identifying the Perfect Square Factors
In order to make 539 a perfect square, we need to balance the factors of 539 by multiplying or dividing them with the smallest number possible. Since 539 already has two 7's, the perfect square factor that is missing is 11.
3. Multiplying 539 by the Smallest Number
To make 539 a perfect square, we need to multiply it by the missing factor, which is 11. Therefore, 539 x 11 = 5929, which is a perfect square of 77.
4. Conclusion
Therefore, the smallest number we need to multiply 539 by to get a perfect square is 11. By multiplying 539 by 11, we obtain the perfect square 5929.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
From which smallest number we will multiply or divide 539 to get a perfect square?
Question Description
From which smallest number we will multiply or divide 539 to get a 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 From which smallest number we will multiply or divide 539 to get a perfect square? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From which smallest number we will multiply or divide 539 to get a perfect square?.
From which smallest number we will multiply or divide 539 to get a 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 From which smallest number we will multiply or divide 539 to get a perfect square? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From which smallest number we will multiply or divide 539 to get a perfect square?.
Solutions for From which smallest number we will multiply or divide 539 to get a perfect square? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of From which smallest number we will multiply or divide 539 to get a perfect square? defined & explained in the simplest way possible. Besides giving the explanation of
From which smallest number we will multiply or divide 539 to get a perfect square?, a detailed solution for From which smallest number we will multiply or divide 539 to get a perfect square? has been provided alongside types of From which smallest number we will multiply or divide 539 to get a perfect square? theory, EduRev gives you an
ample number of questions to practice From which smallest number we will multiply or divide 539 to get a perfect square? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup