Prime and composite by Demosthenes O. Cajes

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Information about Prime and composite by Demosthenes O. Cajes
Education

Published on February 4, 2014

Author: TimoyCajes

Source: slideshare.net

Description

A presentation in Prime and Composite demonstration by Demosthenes O. Cajes

Bathroom Tiling Make possible ways to arrange the tiles.

1. Use 4 tiles

2. Use 6 tiles

3. Use 3 tiles

4. Use 5 tiles

For 4 tiles and 6 tiles the factors are more than two: 4 tiles – factors are 4, 2 and 1 6 tiles – factors are 6, 3 and 1 Numbers with more than 2 factors are called

For 3 tiles and 5 tiles the factors are ONLY two: 3 tiles – factors are 3 and 1 5 tiles – factors are 5 and 1 Numbers with ONLY two factors are called

Sieve of Eratosthenes 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100

48 64 22 85 39 2 42 14 12 74 63 56 21 15 17 70 57 42 20 63 16 18 62 59 83 37 22 12 42 84 42 60 39 21 31 53 30 43 43 13 60 15 72 46 11 62 31 72 53 29 13 13 2 41 17 73 22 86 8 12 28 25 66 3 80 38 71 11 3 73 42 81 61 26 42 7 12 50 61 8 33 11 83 83 7 57 19 5 38 25 74 60 84 30 22 43 80 49 55

Assessment: Write C if the number is composite and P if it is prime. 1. 67 ___ 2. 100 ___ 3. 81 ___ 4. 43 ___ 5. 31 ___ Write true or false. 1. The least prime number is 3. 2. The product of two prime numbers is a prime number. 3. All even numbers greater than 2 are composite. 4. The sum of any two prime numbers is a composite number. 5. The only even prime number is 2.

Homework A. Answer the following questions: (1/2 sheet of paper, crosswise) 1. I am a three-digit number. I am the sum of the prime numbers between 40 and 60. Who am I? 2. What is the sum of the first prime numbers? 3. List the twin primes between 1 to 100. 4. Name two composite numbers that are prime. 5. Name three consecutive odd prime numbers. 6. Which is the smallest prime number? 7. How many prime numbers are there between 1 and 100? 8. Is every odd number other than 1 a prime number? 9. Is every even number other than 2 a composite number? 10. What are the first 10 prime numbers?

See you all tomorrow! Prepared by: DEMOSTHENES O. CAJES Teacher I, DCCES

Sieve of Eratosthenes Eratosthenes (276-194  B.C.)  was  the  third  librarian  of  the  famous  library  in Alexandria  and  an  outstanding  scholar  all  around.  He  is  remembered  by  his  measurement  of  the  circumference  of  the  Earth,  estimates  of  the  distances  to  the  sun  and  the  moon,  and,  in  mathematics,  for  the  invention  of  an algorithm for  collecting prime numbers.  The  algorithm  is  known  as  the Sieve of Eratosthenes. BACK

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