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Musical Chairs • No more than 2 people at one table who have been at the same table before. • I suggest that one person remain at the table you have been at for the past few weeks and the rest move, making sure that there is no more than one person at your new table with whom you have previously shared a table. Finding factors of a number • Use the beans to find factors of 24 Count out 24 beans We know that products can be illustrated using a rectangular model Make a rectangle using the beans What are the numbers you multiply to get 24? Can you arrange the beans into a different rectangle? What product does this represent? How many different rectangles can you make? Count out 11 beans. How many rectangles can you make with 11 beans? The Sieve of Eratosthenes • Prime Number Divisible only by 1 and itself • Finding prime numbers using the sieve Sieve of Eratosthenes 1 11 21 31 41 51 61 71 81 91 2 12 22 32 42 52 62 72 82 92 3 13 23 33 43 53 63 73 83 93 4 14 24 34 44 54 64 74 84 94 5 15 25 35 45 55 65 75 85 95 6 16 26 36 46 56 66 76 86 96 7 17 27 37 47 57 67 77 87 97 8 18 28 38 48 58 68 78 88 98 9 10 19 20 29 30 39 40 49 50 59 60 69 70 79 80 89 90 99 100 Names for these numbers 11 is an example of a 24 is an example of a Factors of 24 • List How should they be ordered? • How do you know you have them all? Exploration 4.3 • Do #1 yourself, compare answer with the others in your group. • Do #2 with the following numbers 60 72 Methods of factoring Factorization • Factorization is writing a number as a product of factors. 24 60 Prime Factorization • A factorization of the number in which all of the factors are prime numbers. 10 12 Prime Factorization • 24 • 25 Prime Factorization 60 Using a factor tree to do prime factorization • 112 • Exploration 4.3 is due on Monday #1,2,6,7,8 along with some exercises from the textbook. Please put the exploration on a separate paper than the textbook problems. All of the textbook problems may be on the same paper.