2.1 Factors and Multiples 1 March 03, 2014 3.1FactorsandMultiplesofWholeNumbers Primenumbers =#thatcanonlybedividedby1anditself Examples:
2.1 Factors and Multiples Part 2
Jun 19, 2015
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
2.1 Factors and Multiples
1
March 03, 2014
3.1FactorsandMultiplesofWholeNumbers
Primenumbers=#thatcanonlybedividedby1anditself
Examples:
2.1 Factors and Multiples
2
March 03, 2014
Whenafactorofanumberhasexactlytwodivisors–1anditself,thefactorisa primefactor .
However,whencanexpressALLnumbersintermsofprimefactors.Wecallthis primefactorizationandwriteanumberasaproductofitsprimefactors.
Thefactorsof12are1,2,3,4,6,and12.
12=2 .2 .3or2 2 .3
2.1 Factors and Multiples
3
March 03, 2014
Thereare twomethodstoindtheprimefactorizationofanumber:
Method1:FactorTrees
Example1: Writetheprimefactorizationof2646.
2.1 Factors and Multiples
4
March 03, 2014
Method2 :Userepeateddivision.STEP1: Beginbydividingthenumberbytheleast(smallest)primefactor.STEP2: Dividebythisprimefactoruntilitisnolongerafactor.STEP3: Chooseanotherprimefactorandcontinuewithsteps1and2.STEP4: Stopwhenthequotientreaches1.
2.1 Factors and Multiples
5
March 03, 2014
Nowyoutry!Writetheprimefactorizationof3150.
2.1 Factors and Multiples
6
March 03, 2014
For2ormorenaturalnumberswecandeterminetheir greatest commonfactor,thegreatestfactorthatallthenumbershavein common.
Example2:DeterminetheGCFof126and144.
Method1:Determineallthefactorsforeachnumber.
2.1 Factors and Multiples
7
March 03, 2014
Method2:Findallthefactorsofonenumberandcheckwhichnumbersaredivisiblebythesecond.
2.1 Factors and Multiples
8
March 03, 2014
Method3:Useprimefactorization.STEP1: Findtheprimefactorsofeachnumberusingprimefactorization.STEP2: Determinewhichprimefactorsappearinbothnumbers.STEP3: MultipletherepeatednumberstoindtheGCF.
2.1 Factors and Multiples
9
March 03, 2014
2.1 Factors and Multiples
10
March 03, 2014
Nowyoutry!FindtheGCFof234and342.
2.1 Factors and Multiples
11
March 03, 2014
2.1 Factors and Multiples
12
March 03, 2014
Whatarethemultiplesof22?Togeneratemultiplessimplymultiplyanumberbythenaturalnumbers(1,2,3,4...)
For2ormorenaturalnumberswecandeterminetheir leastcommonmultiple ,thesmallestnumberthatisdivisiblebybothnumbers.
Example3 :DeterminetheLCMof14,20,and42.
2.1 Factors and Multiples
13
March 03, 2014
Method1:Listallthemultiplesofeachnumberuntilthesamenumberappearsinall3lists.
2.1 Factors and Multiples
14
March 03, 2014
Method2:Listthemultiplesofthelargestnumberandchecktoseewhichnumbersaredivisiblebytheothernumbers.
2.1 Factors and Multiples
15
March 03, 2014
Method3:Useprimefactorization.STEP1: Findtheprimefactorsofallofthenumbersusingprimefactorization.
STEP2: Determinethegreatestpowerofalltheprimenumbersusedin anylist.STEP3: MultiplythegreatestpowerofeachprimefactortogettheLCM.
2.1 Factors and Multiples
16
March 03, 2014
Nowyoutry!FindtheLCMof28,42,and63.
2.1 Factors and Multiples
17
March 03, 2014
Related Documents
