UPSC Exam > UPSC Questions > I don't understand why the answer is 2 for pe...
Start Learning for Free
I don't understand why the answer is 2 for perfect cube factors of 4500?
Most Upvoted Answer
I don't understand why the answer is 2 for perfect cube factors of 450...
Understanding Perfect Cube Factors of 4500
To find the perfect cube factors of 4500, we need to break down 4500 into its prime factors and then identify the perfect cube factors.
Prime Factorization of 4500
- 4500 = 2 x 2 x 3 x 3 x 5 x 5 x 5
- 4500 = 2^2 x 3^2 x 5^3
Finding Perfect Cube Factors
In order for a number to be a perfect cube factor, each of its prime factors must appear in groups of three. Looking at the prime factorization of 4500, we can see that the prime factor 5 appears in a group of three (5^3), making it a perfect cube factor.
Therefore, the only perfect cube factor of 4500 is 5.
Conclusion
Hence, the answer is 1 perfect cube factor, which is 5, for the number 4500.
To find the perfect cube factors of 4500, we need to break down 4500 into its prime factors and then identify the perfect cube factors.
Prime Factorization of 4500
- 4500 = 2 x 2 x 3 x 3 x 5 x 5 x 5
- 4500 = 2^2 x 3^2 x 5^3
Finding Perfect Cube Factors
In order for a number to be a perfect cube factor, each of its prime factors must appear in groups of three. Looking at the prime factorization of 4500, we can see that the prime factor 5 appears in a group of three (5^3), making it a perfect cube factor.
Therefore, the only perfect cube factor of 4500 is 5.
Conclusion
Hence, the answer is 1 perfect cube factor, which is 5, for the number 4500.
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
|
|
Top Courses for UPSCView all
I don't understand why the answer is 2 for perfect cube factors of 4500?
Question Description
I don't understand why the answer is 2 for perfect cube factors of 4500? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about I don't understand why the answer is 2 for perfect cube factors of 4500? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for I don't understand why the answer is 2 for perfect cube factors of 4500?.
I don't understand why the answer is 2 for perfect cube factors of 4500? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about I don't understand why the answer is 2 for perfect cube factors of 4500? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for I don't understand why the answer is 2 for perfect cube factors of 4500?.
Solutions for I don't understand why the answer is 2 for perfect cube factors of 4500? 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 I don't understand why the answer is 2 for perfect cube factors of 4500? defined & explained in the simplest way possible. Besides giving the explanation of
I don't understand why the answer is 2 for perfect cube factors of 4500?, a detailed solution for I don't understand why the answer is 2 for perfect cube factors of 4500? has been provided alongside types of I don't understand why the answer is 2 for perfect cube factors of 4500? theory, EduRev gives you an
ample number of questions to practice I don't understand why the answer is 2 for perfect cube factors of 4500? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
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