Demo: Short Tricks to Find Number & Product of Factors

Duration: 11 min

This video lesson is available to enrolled students.

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Inside: a video lesson and guided study material.

Module outline

  1. About Course: About the Course
  2. Section A: General Awareness / सामान्य जागरूकता: Polity / राजव्यवस्था, Scientific Achievements and Research / वैज्ञानिक उपलब्धियाँ और अनुसंधान, Biology / जीव विज्ञान, Chemistry / रसायन विज्ञान, Static General Knowledge / स्थैतिक सामान्य ज्ञान, History / इतिहास, Geography / भूगोल, Indian Economy / भारतीय अर्थव्यवस्था, Current Affairs / समसामयिकी, Evolution of Indian Banking (Banking & Financial Awareness), Environment / पर्यावरण
  3. Section A: General Intelligence & Reasoning ability / सामान्य बुद्धिमत्ता एवं तर्कशक्ति: Series / श्रेणी, Coding-Decoding / कूट लेखन एवं कूट वाचन, Data Sufficiency / आँकड़ों की पर्याप्तता, Non-Verbal Reasoning / अशाब्दिक तर्क, Analytical Reasoning (Counting Figures Reasoning) / विश्लेषणात्मक तर्क (आकृति गणना तर्क), Blood Relations / रक्त संबंध, Syllogisms / न्यायवाक्य, Statement-Based Reasoning / कथन आधारित तार्किक विवेचन, Seating Arrangement and Puzzles / बैठक व्यवस्था एवं पहेलियाँ, Direction and Distance / दिशा एवं दूरी, Mathematical Operations and Missing Numbers / गणितीय संक्रियाएँ एवं लुप्त संख्या, Calendar and Clock / कैलेंडर एवं घड़ी, Clock / घड़ी, Cubes, Dice and Figure Counting / घन, पासा एवं आकृतियों की गिनती, Data Sufficiency and Decision Making / आँकड़ों की पर्याप्तता एवं निर्णय क्षमता, Alphabet and Number Test / वर्णमाला एवं संख्या परीक्षण, Crypt Arithmetic / कूट अंकगणित, Venn Diagrams, Syllogism and Inequalities / वेन आरेख, न्याय वाक्य एवं असमानता, Data Arrangement / आँकड़ों की व्यवस्था, Inequality / असमानता, Analogy and Classification / सादृश्यता एवं वर्गीकरण, Order and Ranking / क्रम एवं रैंकिंग, TCS NQT Advanced Reasoning Ability / TCS NQT उन्नत तर्कशक्ति क्षमता
  4. Section A: Arithmetical & Numerical Ability / अंकगणितीय एवं संख्यात्मक योग्यता: Ratio and Proportion / अनुपात और समानुपात, Divisibility Rules / विभाज्यता के नियम, Data Interpretation / आँकड़ा निर्वचन, Mixture and Alligation / मिश्रण और एलिगेशन, Permutation and Combination / क्रमचय और संचय, Logarithm / लघुगणक, Number System / संख्या पद्धति, HCF and LCM / महत्तम समापवर्तक और लघुत्तम समापवर्त्य, Sequences, Series and Combinatorics / अनुक्रम, श्रेणी और संयोजन, Time, Speed and Distance / समय, चाल और दूरी, Percentage / प्रतिशत, Average / औसत, Profit, Loss and Discount / लाभ, हानि और बट्टा, Simple and Compound Interest / साधारण और चक्रवृद्धि ब्याज, Time and Work / समय और कार्य, Pipe and Cistern / नल और टंकी, Solid Mensuration / घन क्षेत्रमिति, Simplification, Indices and Surds / सरलीकरण, घातांक और करणी, Algebra / बीजगणित, Probability / प्रायिकता, Mental Ability / मानसिक योग्यता, Age Problems / आयु संबंधी प्रश्न, Partnership / साझेदारी, Statistics / सांख्यिकी, Arithmetic / अंकगणित, Speed Mathematics and Basic Mathematics / द्रुत गणित और आधारभूत गणित, Miscellaneous / विविध
  5. Section A: English Language & Comprehension: Vocabulary, Subject Verb Agreement (Verb Noun Agreement), Adjectives, Verbs and Tenses, Reading Comprehension, Parts of Speech, Sentence Construction, Prepositions and Conjunctions, Direct and Indirect Speech, Sentence Completion (Fill in the blanks), Sentence Structure and Common Errors, Modals, Transformation of Sentences, Sentence Correction (Error Correction), Adverb, Conjunction, Cloze Test (Cloze Passage)
  6. Section A: हिंदी भाषा एवं बोध / Hindi Language & Comprehension: भाषा, लिपि और वर्ण, वर्तनी, वर्ण-विन्यास, अनुस्वार, अनुनासिक, चंद्रबिंदु और ‘र’ के रूप, शब्द, पद और शब्द-भेद, संज्ञा और सर्वनाम, पद-भेद और रूप-विकार, लिंग, वचन, पुरुष और कारक, काल, वाच्य, वाक्य और वाक्य-भेद, संधि, समास, विलोम शब्द, पर्यायवाची शब्द, सामान्य अशुद्धियाँ, अनेक शब्दों के लिए एक शब्द, शब्द-भंडार, अपठित बोध, बहुविषयक सामग्री (विभिन्न अवधारणाओं से संबंधित सामग्री), वर्णमाला
  7. Section B: Programming, Data Structures, OOP & Java: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Java, OOPS with C++, Language Design, Intro to Compilers, Visual Basics, Syntax Analysis: Bottom-Up, Object Oriented Technology
  8. Section B: Computer Networks, TCP/IP & Network Security: Introduction to CN, Data Communication, DLL: Flow Control, DLL: Access Control, DLL: Error Control, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics, Network Access Technologies, Network Security, Society, Law & Ethics, Mobile Computing, Net Layer:Routing Protocol, Cyber Safety and Security
  9. Section B: Teaching Methodology / शिक्षण पद्धति: Growth and Development / वृद्धि और विकास, Concept of Pedagogy / शिक्षाशास्त्र की संकल्पना, Theories of Development / विकास के सिद्धांत, Inclusive Education / समावेशी शिक्षा, Experiential Pedagogy / अनुभवात्मक शिक्षाशास्त्र, Assessment and Evaluation / आकलन और मूल्यांकन, Socialisation and Gender / समाजीकरण और जेंडर, National Education Policy (NEP) 2020 / राष्ट्रीय शिक्षा नीति (NEP) 2020, Cognitive Processes / संज्ञानात्मक प्रक्रियाएँ, Teaching Planning and Teaching Skills / शिक्षण योजना और शिक्षण कौशल, Personality Development / व्यक्तित्व विकास, Teaching Methods / शिक्षण विधियाँ, Learning and Behavioural Theories / अधिगम और व्यवहारवादी सिद्धांत, Learners & Learning Process / अधिगमकर्ता और अधिगम प्रक्रिया, Factors Affecting Teaching / शिक्षण को प्रभावित करने वाले कारक, Teaching Methods and Approaches / शिक्षण विधियाँ एवं उपागम, Teaching-Learning Process and Classroom Management / शिक्षण-अधिगम प्रक्रिया एवं कक्षा प्रबंधन, Teaching Aids and Educational Technology / शिक्षण सहायक सामग्री एवं शैक्षिक तकनीकी, Microteaching and Classroom Communication / सूक्ष्म शिक्षण एवं कक्षा संप्रेषण, Assessment and Evaluation / आकलन एवं मूल्यांकन, Curriculum, Arts and Co-curricular Areas / पाठ्यचर्या, कला एवं सह-शैक्षिक क्षेत्र, Education of Children with Disabilities / दिव्यांग बच्चों की शिक्षा, Teacher: Qualities, Professional Ethics and Development / शिक्षक: गुण, व्यावसायिक नैतिकता एवं विकास
  10. Section B: Digital Electronics / Boolean Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Analog-Digital Conversion
  11. Section B: Operating Systems & Linux: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, File Management, Disc Scheduling, Unix OS, Linux OS, Distributed Systems, Windows OS
  12. Section B: Data Base Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, File Organization & Indexing, Transaction Management, Concurrency Control, Database Security & Authorization, Database Recovery, Data Warehousing & Mining
  13. Section B: Internet & Web Technologies: Website, Browser & Services, Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, HTML Basics, CSS, Emerging Technologies, JavaScript-Basics, .Net Programming, Electronic Data Interchange and E-Commerce, XML
  14. Section B: Computer Fundamentals, IT Basics & Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Register Transfer and Microoperations, Control Unit Design, Programming the Basic Computer, Terms & Abbreviations, MS Office Applications, Instr Formats & Modes, Floating Point Rep, Computer Fundamentals, Cyber Safety and Security, Computer Software, Operating System, Word Processing (MS Word), Computer Networks, Presentation Software (MS PowerPoint)
  15. Section B: Python Language: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  16. Section B: Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management, extras, Fundamentals of Systems and Information Systems
  17. Section B: Design & Analysis of Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  18. Section B: Mathematics / गणित: Linear Algebra / रैखिक बीजगणित, Calculus / कलन, Trigonometry / त्रिकोणमिति, Vectors / सदिश, Set Theory, Functions, Relations, Propositional and Predicate Logic, Research Process Steps / शोध प्रक्रिया के चरण, Graph Theory, Sets, Relations, Functions and Discrete Mathematics / समुच्चय, संबंध, फलन और विविक्त गणित, Number Systems and Number Theory / संख्या पद्धति और संख्या सिद्धांत, Euclidean Geometry and Mensuration / यूक्लिडीय ज्यामिति और क्षेत्रमिति, Statistics and Probability / सांख्यिकी और प्रायिकता, Coordinate Geometry, Vectors and 3D Geometry / निर्देशांक ज्यामिति, सदिश और त्रिविमीय ज्यामिति, Polynomials, Equations and Complex Numbers / बहुपद, समीकरण और सम्मिश्र संख्याएँ, Plane Mensuration / समतल क्षेत्रमिति, Sampling / प्रतिचयन
  19. Section B: Computer Graphics, Multimedia & Mobile Computing: Basics of Computer Graphics, 2-D Geometrical Transforms and Viewing, 3-D Object Representation, Geometric Transformations and Viewing, Multimedia
  20. Section B: Emerging Trends: Emerging Tech Trends, Knowledge Representation, Natural Language Processing, Trade, Marketing and Consumer Protection / व्यापार, विपणन एवं उपभोक्ता संरक्षण
  21. DSSSB Previous Year Paper:
  22. Business Studies and Management / व्यवसाय अध्ययन एवं प्रबंधन: Business Communication / व्यावसायिक संचार, Principles and Functions of Management / प्रबंध के सिद्धांत एवं कार्य, Accounting Fundamentals and Recording of Transactions / लेखांकन के आधार एवं लेन-देनों का अभिलेखन, Business Economics / व्यावसायिक अर्थशास्त्र, Depreciation, Final Accounts and Computerised Accounting / ह्रास, अंतिम खाते व कंप्यूटरीकृत लेखांकन, Knowledge Management & New Economy / ज्ञान प्रबंधन और नई अर्थव्यवस्था
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video provides a comprehensive introduction to the Number System, specifically focusing on Multiples and Factors. The lesson begins by defining multiples as an infinite set of numbers generated by multiplying a base number, exemplified by the sequence 3 = {3, 6, 9, ... ∞}. The instructor contrasts this with factors, which are finite divisors of a number. Using the integer 12 as a primary case study, the lecture demonstrates how to list factors manually and visually decompose numbers using factor trees. A critical distinction is drawn between general factorization (pairs like 1x12, 2x6) and prime factorization (breaking numbers into prime components like 2^2 x 3). The core of the lesson involves deriving and applying a formula to calculate the total number of factors based on prime exponents. Finally, the video concludes with a summary of these formulas and recommends memorizing specific ranges for squares, cubes, and multiplication tables to facilitate faster problem-solving.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title slide for the 'Number System' chapter, establishing a progression from basic to advanced concepts. The instructor transitions immediately to the specific topic of 'Multiples and Factors.' On-screen text displays 'The mysterious world of numbers...' followed by the chapter title. The lesson formally introduces the concept of multiples, defining them as an infinite sequence. Evidence includes the visible text 'NUMBER SYSTEM' and 'MULTIPLES AND FACTORS,' alongside the instructor writing the set notation for multiples of 3 as '3 = { 3, 6, 9, 12, 15, 18, 21 ... ∞ }' to emphasize the infinite nature of this set.

  2. 2:00 – 5:00 02:00-05:00

    The instructor shifts focus to factors, contrasting their finite nature with the infinite set of multiples. Using the number 12 as a demonstration, the instructor lists factors sequentially: '{ 1, 2, 3, 4, 6, ... }'. The lesson visualizes factors as pairs through a factor tree method and division checks. Visible evidence includes the instructor writing '12/1', '12/2', '12/3 = 4', and '12/6 = 2' to validate divisors. The screen displays the complete set of factors for 12 as 'N = 12 = {1, 2, 3, 4, 6, 12}', explicitly labeling the set as 'Limited' compared to multiples.

  3. 5:00 – 10:00 05:00-10:00

    This segment distinguishes between general factorization and prime factorization. The instructor displays pairs like '1 x 12', '2 x 6', and '3 x 4' as general factorization. He then demonstrates prime factorization using a division method, resulting in the formula '12 = 2x2x3 = 2^2 x 3'. The core instructional goal is to teach the formula for counting factors: 'N = a^p x b^q x c^r' leading to the calculation '(p+1)(q+1)(r+1)...'. Applying this to 12, the instructor calculates '(2+1)(1+1) = 3x2=6' to confirm the manual count. The screen also shows '12 x 12 x 12 => (12)^3' in the context of product of factors.

  4. 10:00 – 11:06 10:00-11:06

    The video concludes by summarizing the key formulas for finding the number of factors and introduces a strategy for calculating products. The instructor revisits the factor count logic, showing 'no. of factors = 6/2 = 3' in the context of pairs. The final slide lists recommended memorization ranges for quick calculation: '1-100: Squares', '1-30: cube', and '1-50: tables'. The session ends with a 'THANK YOU FOR WATCHING' slide, reinforcing the educational content covered regarding number properties and factorization techniques.

The lecture systematically builds understanding of number properties, starting with the fundamental definition of multiples as infinite sets and factors as finite divisors. The instructor uses the number 12 to bridge these concepts, first listing factors manually and then introducing prime factorization as a more efficient method for analysis. A pivotal moment in the lesson is the derivation of the formula (p+1)(q+1)... which allows students to calculate the total number of factors without listing them all. This theoretical framework is supported by visual aids like factor trees and division checks. The lesson concludes with practical advice on memorizing squares, cubes, and tables to enhance computational speed, linking theoretical factorization skills to practical exam preparation strategies.

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