1. 4. Multiples A multiple is the result of the multiplication of any given number by other or itself. Zero is multiple of every number Every number has infinite multiples Every number is its own multiple The multiples are always bigger than or equal to the multiplied number Multiple of 7
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Common Mu tiples Common multiple is a number that is multiple of 2 numbers or more numbers. Example: let's find the common multiples of 4 and 6. 4 )( 6 24 4 x 12 48 4x 18 72 6 X 4 24 6 x 8=48 Some common multiples of 4 and 6 are: 12, 24, 48 and 72
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Factors Factor — a number that divides evenly into another. One (1) is factor of every number Every number is its own factor Every number have a limited quantity of factors The multiples are always smaller than or equal to the divided number 56+8=7 Factor
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Common Factors Common factor is a number that can divide evenly 2 or more numbers. Example: let's find the common factors of 28 and 36. Factorial descompositio 280 1412 36/0 1 812 9 13 3 13 10 The common factors of 28 and 36 are: 1 ,2, and 4.
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Definition Prime Number — a number that has only two factors, itself and 1. '7 is prime because the only numbers that will divide into it evenly are 1 and 7. '2 is the only even prime number 'The prime numbers are endless, as well as the composite numbers '1 is not a prime number; it is called a UNIQUE number (only have 1 factor)
Composite number Composite number —a number that has more than two factors. The factors of 8 are 1, 2,
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Examples of Composite Numbers 4, 6, 8, 9, 10, 12, 14, 15 Special Note: Every whole number from 2 on is either composite or prime.
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Our Lonely 1 It is not prime because it does not have exactly two different factors. It is not composite because it does not have more than 2 factors. Special Note: One is not a prime nor a composite number.
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Definition Greatest Common Factor (GCF) — The largest value that can be divided into every item of the group without having any remainders or the shared common factors of the numbers
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Calculation Find the GCF of 42 and 63 63=3 Both values share a 3 and a 7 GCF = 4212 213 6313 21 7 17 Common Factors
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Examples l. 48 and 72 48 =2x2x2x2x3 2x2x2x3 GCF = 2x2x2x3 2. 18 and 123 18=2x3x3 123 = X 41 GCF =
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One Last Example The school band has 54 members while the choir has 48 members. What is the greatest number of rows that each group and be broken into if the number of rows are the same for the two groups? 48 =2x2x2x2x3 54 =2x3x3x3 GCF = 6
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lcm (least common multiple) Least Common Multiple (lcm) — The least common multiple of several numbers GCF 1. First get the and then multiply it by the all factors of each number. 6012 302 15b 402 GCF= 2X2X5 100 Lcm: CCFx3x2=120
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lcm (least common multiple) One more example with three numbers 40, 60 and 90 4012 10 2 lcm-I 9012 4515 The shared factors of The three numbers
Discussion
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