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DELHI PUBLIC SCHOOL MIYAPUR PLAYING WITH NUMBERS GRADE 6

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Even Numbers and Odd Numbers DELHI PUBLIC SCHOOL MIYAPUR What is an Even Number? • Any number that can be exactly divided by 2 is called as an even number. • Even numbers always end up with the last digit as 0, 2, 4, 6 or 8. • Some examples of even numbers are 2, 4, 6, 8, 10, 12, 14, 16. • These are even numbers as these numbers can easily be divided by 2. • It should be noted that the smallest positive even number is 2. • If you pick a number that cannot be divided by 2 is known as an odd number. • For Example- 1, 3, 5, 7, 9, etc. 4

•Prime and Composite Numbers: DELHI PUBLIC SCHOOL MIYAPUR The numbers which cannot be broken into factors other than 1 and itself are known as prime numbers e.g., 2,3,5,7,11,13… The numbers which can be expressed as product of factors other than 1 and itself are known as composite numbers. For example, 4, 6, 8,9 .. 5

•Sieve of EratosthenesDELHI PUBLIC SCHOOL MIYAPUR It is one of the most efficient ways to find small prime numbers. 6

•Twin Prime: Two prime numbers which differ by 2 are calledDELHI PUBLIC SCHOOL MIYAPUR Twin prime numbers. Let us see a video about twin primes.(Courtesy :MacMillan Youtube) 7

What are Co-Prime Numbers? DELHI PUBLIC SCHOOL MIYAPUR • Co-prime number is a set of numbers or integers which have only 1 as their common factor i.e. their highest common factor (HCF) will be 1. • Co-prime numbers are also known as relatively prime or mutually prime numbers. • It is important that there should be two numbers in order to form co-primes. 8

Linear Numbers -Every number can be shown as a line. DELHI PUBLIC SCHOOL MIYAPUR Hence, every number is a linear number. Triangular Numbers Now, go through the page numbers 59,60,61,62 of your Textbook. 9

•Prime Factorization and Factor TreeDELHI PUBLIC SCHOOL MIYAPUR •Finding the Highest Common Factor (HCF) by different methods. •Finding the Least Common Multiple (LCM) by different methods. 10

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● Finding HCF by Long Division Method:DELHI PUBLIC SCHOOL MIYAPUR 15

How To Find LCM By Common Division MethodDELHI PUBLIC SCHOOL MIYAPUR 16