The question is about perfect square factors. A number is given. We need to find out the number of perfect square factors of that number. Dealing with factors of a number is a vital component in CAT Number Systems: Factors. A range of CAT questions can be asked based on this simple concept of Factors. CAT exam has always tested the idea of Factors from Number systems. The idea of Factors questions forms an integral part of the CAT syllabus. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.
Question 2: How many factors of 1080 are perfect squares?
1080 = 23 * 33 * 5. For any perfect square, all the powers of the primes have to be even numbers. So, if the factor is of the form 2a * 3b * 5c.
The values 'a' can take are 0 and 2, b can take are 0 and 2, and c can take the value 0.
Totally there are 4 possibilities. 1, 4, 9, and 36.
The question is "How many factors of 1080 are perfect squares?"
Choice A is the correct answer.
CAT® (Common Admission Test) is a registered trademark of the Indian Institutes of Management. This website is not endorsed or approved by IIMs.
2IIM Online CAT Coaching
A Fermat Education Initiative,
10-C, Kalinga Colony, Bobbili Raja Salai
K.K.Nagar, Chennai. India. Pin - 600 078