It is also known as the Greatest Common Divisor (GCD). The common factors of 12 and 20 are 1, 2 and 4. We may even skip a few numbers while counting and playing. The lowest of these is 60. For example: Consider two numbers 12 and 20. "Like" us on Facebook and get weekly access to exercises. Some More Divisibility Rules Download the tic-tac-toe PowerPoint. For example, The numbers 10 and 25 are divisible by a number 5. We have discussed and discovered the following : A factor of a number is an exact divisor of that number. Upon reaching the 6th standard, students are introduced to the NCERT Solutions for Class 6 Maths Chapter 3 syllabus, which is quite variant and includes different topics. NCERT Solutions of all exercise questions and examples of Chapter 3 Class 6 available free at teachoo. In this factorisation, the only factors 2 and 3 are prime numbers. 13. CBSE NCERT Class 6 Playing with Numbers Worksheets. Example 2. 2. The factors of a given number are finite in number. 3. For example, 8 and 25 are co-prime numbers whereas 4 and 10 are not co-prime numbers. Integers- This is a section that includes fun learning. So, 60 is the LCM of 12 and 20. Play with the factors and multiples of a number. Rounding Off to Nearest Crore The factors which are the factors of each of the given numbers are called their common factors. NCERT Solutions for Class 6 Maths Chapter 3 - Playing with Numbers NCERT solutions for other chapters will be provided here very soon. Their sum is 10 + 25 = 35. 39. 6 is present in the lakh place of 1656759, and 6 > 5. The Greatest number that will divide 39, 78, 195 is. State whether the number is Prime or Composite: 5 4. NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Exercise 3.1, Exercise 3.2, Exercise 3.3, Exercise 3.4, Exercise 3.5, Exercise 3.6 and Exercise 3.7 in English and Hindi Medium for session 2020-2021. The subject experts have created these NCERT Solutions at BYJU’S to provide the best possible methods to solve the problems. Their difference is 25 – 10 = 15. Prime factorization and division methods to calculate LCM, Learnhive Lesson on Factors and Multiples, Learnhive Lesson on Highest Common Factor, Learnhive Lesson on Lowest Common Multiple, Learnhive Lesson on Tests of Divisibility, Learnhive Lesson on Numeric Expressions : BODMAS. Digital NCERT Books Class 6 Maths pdf are always handy to use when you do not have access to physical copy. If we round off 1656759, then the new number will be 2000000. For example: 28 is a perfect number because all the factors of 28 are 1,2,4,7,14 and 28 whose sum = 1 + 2 + 4 + 7 + 14 + 28 = 56 = 2 × 28, whereas 10 is not a perfect number because all the factors of 10 are 1, 2, 5 and 10 whose sum = 1 + 2 + 5 + 10 = 18 ≠ 2 × 10. Every number greater than 1 has exactly one prime factorisation. Factorisation: A number when expressed as a product of its factors is said to be factorised. The number 1 is a factor of every number. A number with 3 or more digits is divisible by 4 if the number formed by its last two digits (i.e., units and tens) is divisible by 4. For example, The numbers 10 and 25 are divisible by a number 5. 5 is the largest number it’s sign is a (-). For example: 12 = 3 × 4. Chapter 1: Knowing Our Numbers Chapter 2: Whole Numbers Chapter 3: Playing with Numbers Chapter 4: Basic Geometrical Ideas Chapter 5: Understanding Elementary Shapes Chapter 6: Integers Chapter 7: Fractions Chapter 8: Decimals Chapter 9: Data Handling Chapter 10: Mensuration Chapter 11: Algebra Chapter 12: Ratio and Proportion Chapter 13: Symmetry Chapter 14: Practical Geometry We say that 12 has been factorised. For example: Let us factorize 90. This year, I wanted to create a template in PowerPoint that could be used to model to activity to the whole class. Chapter 3 Class 6 Playing with Numbers; Chapter 3 Class 6 Playing with Numbers. The Lowest Common Multiple (LCM) of two or more given numbers is the lowest (or smallest or least) of their common multiples. An exact divisor of a number is called its factor. These are called common factors of 20 and 48. Multiples of 3 are 3, 6, 9, 12, 15, 18, Learn about prime factorization. If we round off 53683219, then the new number will be 54000000. The common multiples of 12 and 20 are 60, 120,… Ex: 1, 2, 3 and 6 are factors of number 6. The multiples which are the multiples of each of the given numbers are called their common multiples. Thus, 2 × 2 × 3 is the only prime factorisation of 12. If two given numbers are divisible by a number, then their sum is also divisible by that number. There exists only one prime factorisation of a number. If a number is divisible by two co-prime numbers, then it is also divisible by their product. Check here for the detailed and appropriate solutions. (ii) Ratio of members who play badminton to the number of those who play table- tennis = 144 : 96 => 6 : 4 = 3 : 2 (iii) Ratio of members who play table tennis to the number of those who play volley-ball = 96 : 80 = 6 : 5 (iv) Ratio of members who play volley-ball to the number of those who play other games = 80 : 280 =>4 : 14 = 2 : 7. Our learning system helps your children learn at their own pace. For example: Consider two numbers 12 and 20. Prime numbers: The numbers having exactly two factors 1 and the number itself are called prime numbers. Solution. are composite numbers. In turn, a number is a multiple of each of its factors. Clearly, the factors common to the factors of 20 and 48 are 1, 2, 4. Negative Numbers. This PowerPoint is all about the number 6 and will show children how the number can be represented in many different ways. NCERT Solutions For Class 6 Maths Chapter 3 Playing with Numbers Exercise 3.1 has problems based on factors and multiples. Note: The number 1 is neither prime nor composite. The chapter includes points like Tag me with … Playing with numbers. The students can refer to the Solutions prepared by a set of experts at BYJU’S to practise the NCERT problems given in the textbook effectively. This is one of the several factorisations of 12. Students who are in Standard 6 and are studying Playing with Numbers should follow the books issued by NCERT to study for exams and revise the entire syllabus, concepts using these books. Factors of 20 are 1, 2, 4, 5, 10 and 20. Game Number 1: Tic-Tac-Toe. Composite numbers: The numbers having more than two factors are called composite numbers. Playing with Numbers worksheet for class 8 Important Topics. NCERT Solutions for Class 6 Maths Chapter 3 - Playing with Numbers. Learnhive provides a large number of exercises to help them reduce these mistakes. The above video may be from a third-party source. 1 is a factor of every number. Multiples of 20 are 20, 40, 60, 80, 100, 120, …….. 12 = 3 × 4 For example, 40 is divisible by 4 and 5. For example, 2, 3, 5, 7, 11, etc. Introduction; Numbers in General Form; Games with Numbers; Letters for Digits; Tests of Divisibility; Some important Facts about Playing with Numbers worksheet for class 8. The Highest Common Factor (HCF) of two or more given numbers is the highest (or greatest) of their common factors. A number with three or more digits is divisible by 4 if the number formed by its last … A number is divisible by 5 if it has either 0 or 5 in its units place. Get Playing With Numbers, Mathematics Chapter Notes, Questions & Answers, Video Lessons, Practice Test and more for CBSE Class 10 at TopperLearning. Prime Factorisation Every factor of a number is less than or equal to that number. Factors of 20 are 1, 2, 4, 5, 10 and 20. The Fundamental Theorem of Arithmetic Solution. Prime factorization and division methods to calculate HCF, Lowest Common Multiple (LCM). We know that Two numbers having only 1 as a common factor are called co-prime numbers. Odd number: A number which is not a multiple of 2 is called an odd number. ... Chapter 3: Playing With Numbers: 3.1 Introduction 3.2 Factors and Multiples 3.3 Prime and Composite Numbers 3.4 Test For Divisibility Of Numbers Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48. Common Factors and Common Multiples 26. Tests for divisibility of numbers: A number is divisible by 2 if it has any of the digits 0, 2, 4, 6, or 8 in its ones place. the examples are very well explained for each individual concepts. Prime factorization and division methods to calculate LCM. Moreover, it is unique (exactly one). Some Problems on HCF and LCM 12 = 2 × 6 -5 - 1 = 5 + 1 • Answer gets the sign of the larger number. Multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, … Clearly, 15 is divisible by 5. All NCERT textbook questions have been solved by our expert teachers. Prime factorization and division methods to calculate HCF, A lesson on Lowest Common Multiple (LCM). For example: Students who are in Class 6 or preparing for any exam which is based on Class 6 Maths can refer NCERT Book for their preparation. A number is divisible by 3 if the sum of its digits is a multiple of 3. Clearly, 35 is divisible by 5. Know more about the properties of numbers. Co-prime numbers: Two numbers are said to be co-prime if they have 1 as the only common factor. Some important Facts about Playing with Numbers worksheet for class 6 We have discussed multiples, divisors, factors and have seen how to identify factors and multiples. If two given numbers are divisible by a number, then their difference is also divisible by that number. Numbers can be written in general form. Prime and Composite Numbers are prime numbers. 4 and 5 are co-prime. Rules For Integers • When Signs are the same, add the numbers! Factors and multiples: Playing with numbers Prime and composite numbers: … For example: While factorising 12, we ultimately reach the unique factorisation 2 × 2 × 3. CBSE Worksheets for Class 6 Maths: One of the best teaching strategies employed in most classrooms today is Worksheets. Every number is a factor of itself. Which of the following statements are true? This ppt is all about integers of class 6 from ncert maths book.it have the detailed explanation about concept of integers and representation of integers on number line and addition, subtraction of integers.the concepts are very well explained with adequate examples. PowerPoint Presentation: Prime and Composite Numbers An exact divisor of a number is called its factor. View Lessons & Exercises for Prime and Composite Numbers →, View Lessons & Exercises for Tests of Divisibility - Properties →, To find out whether a given number is a factor of another number or a multiple of another number, Simplification of brackets, multiples and factors, Concept of co-prime numbers and prime factorization, Highest Common Factor (HCF). A factor of a number is an exact divisor of that number. So, 250, 2732, 29354, 34596 are even numbers. or The others are: Clearly, 40 is divisible by each of these factors. Factors and Multiples. 1. The NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers are helpful for the exam preparation as it covers all types of questions present across the seven exercises of this chapter. Factor tree: When we go on factorizing a number till we reach its ultimate factorisation and write the process as follows, we get the shape of a tree called Factor tree. (a) If a number is divisible by 3, it must be divisible by 9. Introduction to Playing with Numbers; To understand the BODMAS rule; To learn the divisibility rules; To find out whether a given number is a factor of another number or a multiple of another number; Multiples and Factors; To use an index or exponent for a number; Simplification of brackets, multiples and factors; Divisibility rules from 2 to 11 Understand the difference between prime and composite numbers. 4. none of these. 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For example, 40 is divisible by 20. Class 6 Mathematics Worksheets: Here you can get info about Worksheet of CBSE Class 6 Maths Worksheets and you can download pdf for 2020-21 academic year. The multiples of a given number are infinite in number. In turn, a number is a … A number is divisible by 9 if the sum of all the digits of the number is divisible by 9.