IPMAT Indore PYQ 2025 | Number Systems | SA Question 14 | Quantitative Aptitude

IPMAT Indore PYQ 2025 | Number Systems | SA Question 14 | Quantitative Aptitude

What is Factors and Divisors in IPMAT?

Factors and divisors involve understanding how numbers can be expressed as products of primes. In IPMAT, these questions often test concepts like counting factors, prime factorization, and identifying special types of divisors such as perfect squares.

Question:

The number of factors of 3⁵ × 5⁸ × 7² that are perfect squares is:

This video is part of a PYQ-driven IPMAT Indore 2025 series (SA + MCQ + VA), where every concept is built through actual past year questions. Follow the series in order.

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This video covers an actual IPMAT Indore 2025 PYQ (Short Answer) from Number Systems with a clear and exam-focused approach.

What you will learn:

• Prime factorization basics
• Counting total factors
• Identifying perfect square divisors
• Using exponent rules efficiently
• Solving IPMAT PYQs step-by-step
• Avoiding common mistakes in factor-based questions

Video Chapters:
00:00 Question Setup – Perfect Square Factors
00:16 Finding Total Number of Factors
00:28 Applying Factor Formula
00:39 Total Factors = 162
00:48 Why We Add 1 to Powers
01:00 Expanding Powers of 3
01:14 Perfect Square Condition
01:25 Valid Powers for 3
01:36 Valid Powers for 5
01:47 Counting Valid Powers
01:57 Final Calculation of Perfect Square Factors
Who should watch:

• IPMAT 2026 aspirants
• Students practicing QA PYQs
• Beginners in Number Systems

Frequently Asked Questions (FAQ):

Q1. How to count total factors?
Add 1 to each exponent and multiply.

Q2. What makes a factor a perfect square?
All exponents in its prime factorization must be even.

Q3. How to solve such questions faster?
Focus on exponent patterns.

Q4. Are these important for IPMAT?
Yes, they are commonly asked in Number Systems.

Prepare with GRADSKOOL:

GRADSKOOL offers structured preparation for IPMAT, JIPMAT, and CAT with complete coverage of QA, LRDI, and VARC.

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Practice more IPMAT PYQs to strengthen your exam-level problem-solving and improve accuracy.

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