分解质因数--2024六年级奥数精讲精练含答案.pdf

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5、l:r=e=lsfr_ fI1,*)./3:.:.Y/:f-/_x_ 9,;/-.42 M-i-;1(*2 C Ji ft$l*)43 -i-;rf.t*3 C Ji ft$A*)44 -i,JJJ _g*4(Ji ft fl_*),.45 iJI(*5(Jj ft$tJ_*).46.47 iJI(*1(Jj ft$*)47 M iJrl*2 C Ji IX$l*),.48+-49.,.49 2 50 jk_.:Jf1J ffi-r,11./;-1(J l=EF/2:fr_ fTl,*)./3:.r=Y/:r-/IX.:JA 50 JJh.,1 m.;,11./;-2 C 1 R:J=&fTl

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8、8 jb_-1flj JJifi.;JII i./;-1(-Ji lrfr_ fT1,*).,.-,3:.r=Ya;r,I IX.:JA 68 M iJII*2(Jj Jt$fr*).,.69 M._ iJJ(3 C Ji.)t$fr*).,.70 _#z M._ iJI(*4(j.ft$fr*).71 _ffez M-iJI(*5(Jj.ft$fA*),.72 73 Jth_.;r.,J JJITT.;111 i./;-1(-Jl:!=a=Afr_ fT!,*)./3:.r=Y/:r-/IX.:JA.73 Jib_.;r-,J JJID.;111 i./;-2(-J.&!=a=&fII,*)

9、./3:.r=Y/:r-/IX.:JA 74-ffez M-i;1(jff;3 C Jj lt$fr*)75-#z M-iJII*4(Ji Jt$fr*).,.76-ffez M-iJI(*5(Ji Jt$ffr*).77 78 3 iJI(*7(j ft$J_*)1,JJJ*8 C jJ JI:_$l*)iJI(*9(jj ft$J_*).,.-bT+C qJ:I-JC-IA fl f.:E.!:l:1 jh_-ff-1 JJifi.;111 ii:-1(B:HF lrfr_ frt,*)./r-c Y/:f-/J;x._:f,?).J!h_.ff1J-!JITT.;111 ii:-2(.t

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12、 if,xj if!x A,Yr 175 71.1m mi lzsl Jii,llJ j ili J.J(4jf J.;t.t ifX1 ti o 175=5 X 5 X 7=25 X 7=5 X 35 i,g,f:l:!g 4jf A;t.t fXj ii 2 0*,Yr 3 5 X 5 rp Q 5 l=iJ f:l:!g qjf A;t.t ifX1 139 ti,3 5-1=34,34 J.f HJ 71.3 jt,25 x 7 rp Q 7-a f:l:!g 4jf A;t.t if,xj 139 if!,2 5,f!P$1:.24 J.o -I=!-241g:bo:t.tifXt

13、o 1.11J Yrfl w!IPJ$1fJ-*ifJ*0!m mu mu,$1fJ Jt f f:1:!5J 71.11 3 ii o 1-rn 1fJ mu T 312 i mu,Yrfl!:j$4jf J.mu 139 mu-;tt$,$(-$Y J.?4jf J.mu T J1 i mu?2.fJI 1PJ tE fJI.:E 1f Yrfl B1+w r r-*i u ,1PJ 1f1 Jt M f!5J 71.4 ii,#HYrfl qjfJ.BJ IPJt$o O*Yrfl(=E-T 102,1jl-:1:!5J4jfJ.3.3!g Yrfl w!IPJ$111-*LU,$111

14、 t f f:1:!5J?J.11 8 ii o 1-rn 1fJ :ik T 315 oo ,Yrfl!:j$4jf J.5t LI B1 oo -fl$,$-$Y J.?4jf ii 71.LI$Y 4 60 X 69 X 95 X 155 X 161 X(60 2 X 2 X 3 X 5,69 3 X 23,95 5 X 19,155 5 X 31,161 7 X 23 60 X 69 X 95 X 155 X 161 2 X 2 X 3 X 3 X 5 X 5 X 5 X 7 X 19 X 23 X 23 X 31 2.285 X 875 X 324 X a 4.1 x 2 x 3 x

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16、W:1JJ1t139ftt 2,3,8,iJ,z.1J 8Jt,R*r 4,5,6-sic JI!,;to Jtt M 1g 15;o*1J J1t 09 JI!2,4,6,11,z.1J JiJt,R =1 J _ 1 J 50 1 J 16*jjlJ 1m q:t 131-sic*c 4,5,6)_ c 1,7,9);to c 2,3,8)0 2.6 1 At 4 JJ 11 17 597125,J!-!rf 1m 1,1 z;to$Y?3.+sic ti 2,3,5,7,11,13,17,19,23,29 09 *,JA q:t 1m ili sic,ic11;lt*s-sic ic 1

17、1;lt *s x-Ji!x *m tJt o it it!:1-=r im?X,ic 11-JJ!x*:mr3t,-N1m ili 6 0 60 2X2X3X5 Yr -.G.t q:t B1 pf-aJ jJ C 2,5,6)C 3,4,5)C 2,3,1 O),JnU GM q:i sJ pf c 2,3,10)3.o 7 30,35,39,42,75,99,143,169 30 2 X 3 X 5,35 5 X 7,39=3 X 13,42=2 X 3 X 7 75=3 X 5 X 5,99 3 X 3 X 11,143 11 X 13,169=13 X 13 J.1-5J-fmf.W

18、:2slJ-21-2,6,t-3,4,t-5,2,t-7,2,t-11,41-13,jg T 1*iiE vJ;J ll 12:91-139*f/q i ,!BJ=ll$1.it 1 1-2,3 1-3,2 1-5,1 1-7,30 io 42.m.%15 1 1-2,m?t H-li vJ;J ll;42 15 1,t-7,PJr 3 5$1.3 0 tE-ll;30 50 3 5 15 2,t-5,PJr 7 5$1.42 ll,99$1.30,35 tE-ll;12s11g!BJ=llm 2,t-13,39.m.B 1,t-13,Yr 143 m 39,75,421-ll;*139 11

19、69 2,t-13,P)r 169,30,355fQ991-Jlo ffl3ftl*-139tf1!1!:na1IxfllC.vl T*.)o 511 ll -ll tt-42-2X3X7 30-2X3X5-iv 75-3X5X5 35-5X7-tt-39 3 X 13 99 3 X 3 X 11-II9 z:p-143-11 X 13 169-13 X 13-:4f 39,42,75,143 Jtjg-Jl,30,35,99,169 5J-jg!Jj 6,10,14,15,18,21,33,44 8 1.255=1 X 3 X 5 X 17 l!l tJ&m 1 J$_t BJ)-r 20

20、A)3/r J!1-1!1 3 X 5=15 17 0 Y.l!l tJ *01 il:J,1l1i mJLm1J$,Jifi f!Y 15 mo =1m1r11tY$f1.15 m1J*0 2.303=3 X 101 fu6-*,fu J1Lt)3o&fu:6-3=3():J!tttW1k 3 o 3.2910-2 X 3 X 5 X 97 rili,!tfm 3 x 5=15(),9 7 -fu BJ it tt,Jtl Ef11!J 2 t;JtfilEf1ii1Xo :ili 131!tf t lJZ fQ it$:tf?t 33Ll 15 ffi 2;ftJ 97?to 4.2012

21、-14=1998 1998 EtP fl!A fj(y;p)-fQ I*fJo 1998=2 X 3 X 3 X 3 X 37=18 X 3 X 37 J3/r!A f,:yr A fQ I?tJJLl 3 A 37 Afn 18 1-o :Jr A fj Yrfi A fO I?t tJLl 3 A 37 AfO 18 1-o 1.504=23 X 32 X 7=8 X 9 X 7 Kjff*Bl*ffif:(7 x 8+7 x 9+8 x 9)x 2=382(f7f)*):BJ*OOf/q 382 3-nm*o 2.13824=33 X 29=(3 X 23)X(3 X 23)X 91(3

22、 X 23)=24 X 24 X 24 IEnf*BJtt-ffzfn:24 x 12=288c;m*):sJtt-ff zfO 288 lm*o 3.110592=212 X 33=(24 X 3)X(24 X 3)X(24 X3)=48X48X48 IEjff*Bl*tq:48 x 48 x 6=13824(3-jfJ*):BJ*ffif 13824 f-7f ffl*o 4.54=32X6,K3lm*;96=42 X 6,J3/r*4 ffl*;150=52 X 6,)3/r-tt 5 ffl*;:kIE 7f 1*BJ 1-*fR:33+4 3+53=216=63(31:.jf ffl

23、*):kIE:1r1-*sttK 6 ffl*o :jcIE1J1*ttit 6 ffl*o 5.*7f f*EfJ-,t-jf ffi ffi f/q=*X jWj;it 1J 1-*EfJ-1-_t ffi B1 ID f/q=K x ;J3/rKJJ1*B1-1-IEOOf0-1-_tffi f/qzfQ=-ff X(+)l!l jg it 7f 1*El K 1l 1 mi,165=11 Xl5=11 X(13+2),J3/rK7J1*1l Jtjjlj 7J 13 ffl*11*;fO 2*0 Kn1-*s11*f/q=13 x 11 x 2=286(31:.n m*):J!1-Kn

24、1-*B11-*f/q 286 31:.jJ lm*o 1.l!J Jg!:J:iJ(13j,t-X B11X =100,)3/r 1X*sJ 1-E5*El 1X ill it 11 loo El 129 0 100=22 X 52 100=2 X 50=4 X 25=5 X 20=10 X 10 1t&lJZft 21-fn&1Xft 501-rwJ,?Jr 2 X 50 rt;jflflflJG,4 X 255 X 20 AJ J_I,0 _t 10 X 10,fr;ff 7 jAJ EfJ fl?!o :j1f 7*r!o 2.lzsI jJfij:iX ff X ff iX=168,

25、J3/r&zx En sJ zxmit1 168 sJ l!l o 168=23 X 3 X 7 168=12 X 14=21 X 8=24 X 7=28 X 6=42X4&Jt r 10,t!L$r 50?Jr VJ 12 X 14 1t*Tm frft jw(JL,4J jJ 1?JL,fr 6#o :j 6#F8JsJ1tr!o 3.lzsI 1 x sJ-t-x =924,Yr&x;sJ-t-fil it 11 924 sJ 1!I o 924=22 X3X7Xll 924=21 X 44=28 X 33=42 X 22-t-Jj m BJ x;:9 T 20-t-,ill$T 50-

26、t-,Yr 21 x 44,28 x 33,42 x 22 4 1*Tmftp(JL,fr 6 flf 0 =fr 6 l*fPJBJJJr!o 4.fh!i*JJ 1*8 l,M it*X X =500(tk:),i _t t 1 500?t$:.=-t-sJ f/o 500=22 X 53 500=1 X 1 X 500=1 X 2 X 250=1 X 4 X 125=1 X 5 X 100=1 X 10 X 50=1 X 20 X 25=2 X 2 X 125=2 X 5 X 50=2 X 10 X 25=4 X 5 X 25=5 X 5 X 20=5 X 10 X 10;!=l:12#

27、?tM%,miti1=f 12 fPJ*aJ K Jf 1-*o =m Yr sJ*m m 12#%fPJ sJ Kn1i o 1.312=2 X 2 X 2 X 3 X 13=2 X 156=3 X 104=4 X 78=6 X 52=8 X 39 o*Aifilj 2 I,4 M 8 M,UYf1JA fQ jg 156)-.,78 A 39 A,:r4J 3 ,1!gyiJg,3-4J?t11 3 ill;o*&A Ifilj 3$la,*A 7J 104-1=92 1 o 3 c A),3-4J?t 11 3 ill;D*&)-.iili 6$1,A -fl 52-1=51 c A),

28、3-:iff15-:h 3 ill.o :$-;!=l:1f 51)-.,A Ifilj T 6 i i1ID o 2.102=2 X 3 X 17=1 X 102=2 X 51=3 X 34=6 X 17 o=4i A T 1 1R,2 ,3#c 6#c:flt,UyrpA*11J 102 A,51 A,34 A 17 Ao EB r Yrfl 9;f=f 1 A,$?t$:4 ill,Yr ,)-.m it t 4 aJ 1-g:$1 o tE 1 o 2,51,34*1 1 7 ft,t 4 1$1 aJ 9 17,12911:tfr 16!g$,4JA 2X3=6(:!3c)o :3f

29、 4J&A T 6 tR:o m=EB r*9:xt3-4J&A aJ*fi,Yrm&A-1 En(JG 0 3.315=3 X 3 X 5 X 7=3 X 105=5 X 63=7 X 45=9 X 35&J-.?tiU BJ ffi -$,fl ii 10-t-,Yr )-.?t U ITT ffi 1:tJ A 3-t-,5-t-,7-t-9-t-,t fil BJ Yr11 A fD 1J 1 0 5,63,4 5*1 3 5,-*3 it yr;g,t fil aJ$)-.7J 102,60,42 fD 32,=p 9 32 8,Yr*A1J 32 A,&)-.?tiU 9-t-00

30、 o i_ Jt U BJ ffi !J&:32-=-8 x 9=3 6(-t-):$-;!=l:ff 32 A,&iii.?t iU 36-t-ffi E1 o$1Ji)I(5 1.*fJ=t BJ:Ii J a:J O El3 lzsI 9:r mi l!l 2 fa 5 aJ*f/tk:5E aJ,-x 2 fa 5 t*aJ Pf 1i i U-t-o,Nr VJ%1 lzsI!J&?t 1!I o 48=2 X 2 X 2 X 2 X 3=24 X 3,925=5 X 5 X 37=52 X 37,38=2X19,435=3 X 5 X 29 48 X 925 X 38 X 435=

31、25 X 32 X 53 X 19 X 29 X 37 lzsIIOJ:lzsIi:p;ff 5,t-2 fu 31-5,lzsill:tfJBJ*ffi1f 3 1-0 0 2.*f/q sJ:itt J sJ o rn lzsl fl!OJ:lzsl 2 fU 5 BJ*f/q tk:JE BJ,-xt 2 fQ 5 t*sJ i:iJ 1 U-1 o,Yr 16 re lzsI?t M mt lzsI o 285=3 X 5 X 19,875=5 X 5 X 5 X 7=53 X 7,324=2 X 2 X 3 X 3 X 3 X 3=22 X 34 285 X 875 X 324=22

32、 X 35 X 54 X 7 X 19 lzsI IOJ:lzsI fl;ff 2 1-2 fQ 4 1-5,lzsI 11:t 11 f/q BJ*ffi;ff 5 1 ii BJ o,1W 1 1-5 f U3-f-2 o ffl a Jtt!J 2 X 2 X 2 X 5=40 0 :a:itt!J 40 o 3.tE1X2X3X4XX100 BJ*f/qi:p,2 sJ 1-JE t lzsl 5$,?Jr ,R 1ffi it-lzsl 5 BJ 1 o 1,_,100 r=p 5 sJ11f:l00-:-5=20C1-)1,_,100 r=p 25 E811f:100-:-25=4

33、(1-)5 B11_:g i:J=t sJ 1 1-5,110 _t 2 5 BJ 1!J:f=t t 5 sJ1-&$:,sJ 1 1 5,ti 5 BJ h-.*1-r I o Yr lzsl 5;ff 20+4=24(1-)0 fil ti i,f/q sJ*ffi;ff 2 4 1 ii BJ o o :fJ sJ*ffi;ff 24 1-ii il BJ o o 4.tE1X2X3X4XX200 BJ*f/qi:p,2 BJ 1 -JE t 5$,Yr ,R$it-l2sI 5 BJ 1 0 1,_,200 r=p 5 sJ 11f:200-:-5=40 C 1)1,_,200 fl

34、 25 E81tr1f:200-:-25=8(1-)1,_,200 i:p 125 sJ 1-&;ff:200-:-125=1(1)75 5 BJ 1-&i:f=t sJ 1 1-5,1Jo _t 25 BJ 1-&lf-1 t 5 BJ 1-&:,BJ 1 1-5,W 1Jo _t 125 sJ 1tr i:f=t t 2 5 sJ 1tr -3Z.ili BJ 1 1-5,ti l2sI 5 BJ 1-0 Yr l2sI 5;ff 40+8+1=49(1)0 fil ti i,f/q BJ*ffi;ff 4 9 1-ii BJ o o :f/q sJ*-ffi ff 4 9 1 ii sJ

35、 o o 5.El34BJQ,1X2X3X4XX200 BJ*ttl r:p;ff 49 1-129 5;93 dJ 3 ey Q,1 x 2 x 3 x 4 x.x 100 BJ*/q i:p 241-12sl 5;?Jr 101 x 102 x 103 x 104 x.x 200 BJ*fj=lfl;f 49-24=25(,f-)lzsI 50 fil8ii3l,f/q E8*ffi1f 25 1-ii BJ 0 o :f BJ*ffi 1f 2 5 1-ii BJ o o 1.2618=2X7X11X17=11X14X17 m 1m 1 r1 B1 *JJIJ 11 ,14 ,11 o

36、:lfl,G,71.=A sJ t?t JIJ 11 ,14 j7fQl7 0 2.1m1r1 t,i 1m 1r1 sJ!1 t rtJ tEI 12 sJ1ir o 17597125=53 X 72 X 132 X 17=1 X 13 X 13 X 25 X 49 X 85 0?Jr 1m1fJ BJ zfU:1+13+13+25+49+85=186():J!-!1m1fJZfU 186 o 3.136=2 X 2 X 2 X 17,198=2 X 3 X 3 X 11,1925=5 X 5 X 7 X 11,J!.=,f-fPJ)t:tJ Im 1!OJ:lzsI BJ*ttl,#H!O

37、J:129 f tE+sitiLt i:t=r o 455=5 X 7 X 13,2001=3 X 23 X 29,j!1-,R?t 11-=1-mt lzsI BJ*f/q,Yr 7G BJ Im 1-El1 f/q p 0 :f PJr P BJ 455 fU 2001 o 1.45=1 X 3 X 3 X 5 Yr lfl,G,P1 t rp BJ lf i:iJ 1J C 1,5,9)(3,3,5);129:h 1-A r:f:t lE BJ,f!J f.f :itt ri BJ P1,?Jr 71 t fl EJj,g,J,f!&1+5+9=15(J,f),lfl,G t fl BJ

38、 lf!I&t jAJ,f 3+3+5=11(J,f)0 :lfl,G,71.=A BJ,g,J.f?t JJIJ 11 J.f,11 J,f fQ 15 J,f 0 2.1764=1 X 2 X 2 X 3 X 3 X 7 X 7,f5 7 1 12sf#5 1-,5tJJIJ1*5 fir EJ9pf o 12SI1J&itrspf;ffi:kr 10,m;f:r 2 Mi:f=r 7 pf,3:J.TitEP tE 1 x 2 x 2 x 3 x 3 3fnx:310-aJ 89 If i 5 ftp:(1,4,9),(1,6,6),(2,2,9),(2,3,6),(3,3,4)_ ru

39、 s9 Jg,pf*JJIJ 1g 14,13,13,11,1 o 0 9 1=1 tff ffi#1 If jJ 4,m B9,g,pf 14+7+7=28(pf),G B9 l,pf 10+7+7=24(pf)0:l=J=I,G EI Jg,pf JtJJIJ 28 ftf fO 24 ff o 3.2520=1 x 2 x 2 x 2 x 3 x 3 x 5 x 7,tE 8 1-fzsl jf 51-,5tf11J1*5 tftB9:Ef o rzsI jJ&fu lf ;f fi:k r 1 O,Yr 1 tt Mi=r 7 J,f,JJ.Titffl tE 1 x 2 x 2 x

40、2 x 3 x 3 X 5 3f 410 i:i f 89 If 1=f 9 ftp:(1,4,9,10),(1,5,8,9),(1,6,6,10),(2,4,5,9),(2,5,6,6),(2,3,6,10),(3,3,5,8),(3,3,4,10),(3,4,5,6)9 El,pf 5t JJIJ jg 24,23,23,20,19,21,19,20,18 0 m pft 24-18=6Cpf)0 :AB9$t 6 ftfo 7-ittf9tl,xt-iXtiteit,11Ii$I 6:P-A.-z:;o 5ttE:iKJ.1-5tJJIJ7t:fmmt:6=2 X 3,10=2 X 5,

41、14=2 X 7,15=3 X 5 18=2 X 3 X 3,21=3 X 7,33=3 X 11,44=2 X 2 X 11 JKJ.1-7tfmmtl2SlFo-1=1 61-2,61-3,2 1-5,2 1-7,2 1-11,jg T YE til ll9 1-El*f,R t ,&t.$I it;ff 3 1-2,3 1-3,11-5,11-7,11-110 10 to 15 m*11-5,$Z5ttil;l4 to 21-*11 11-7,tfL mz 5t til;:11!33 f D 94 4 4 m m*tiI.o jgjjf it,1cA:kfFft 0 tE 44 JJJc

42、 1 -t.,33 JJJc tE ffi=t.;EB r tfffe z.t ,R fl 1c 1 14 1=E m-t.,21 tEm=t_;jg 14 to 44 B1131-2,M 151.m-t_ co*10 am-t_gJt T 4 1-2),:i!t$,10 tEffi=t_;ffi-t.m.B1=111-3,r 18 tEffi-t_,6 tE=t_,m=t_m,R 21-2,;m-0 Yr mz 21 JJJc1m-t.,14 JJJc15l4=til;m fAJ t-t s 1I 1!;pifJ 15 am-tii,1 o 1 m=t_;)6 f D 18 11ij 5E

43、o :10,14,18,3 3,t jg-t_,6,15,21,44,t pJj-tif.0 1.*jEB:2010-1830=180()2010,1830 f D 180 B:k0 30,M&ffi$Zit 30 5t;&Boco =&5ffjr5ttz;f-)-30 0 2.24,36 to 42 sfi7C0E51 6,r til ey,t 6 Ao l!if.?ttiI.:24-=-6+36-:-6+42-:-6=17(t_):4ijtiley5t 6 A,l;tt,t 17 til 0 3.36 f D 48 B9ii7C0 12,Yr$:(:tfi-ar?tm 12 t_ 0&t.,t1tiE1J1iJt.-:48 7 12=4(1-):$:(:t ii$-aJ ,t J5Jl 12 til,&til,t 1 4 1 iE jj 1 i 0 miJ11 2 1.120,80 B97C0t 40,m 1 J iE1I*Jllttp 40 ffl*o