分解质因数--2024六年级奥数精讲精练含答案.pdf

:$t Mt.J.Ji l*I .1 1 2 3 4 5 6 7 8-.1j!.Ji:*l l*I 9.9 10-.,.11 M iJIJ*1(Ji$*).11 M-i;rJ:J;2 C Ji.ft_$:/!.*)12 M-i;1f*3 C:x:J it.$:!.*)13.,.14 j!t-1T-1J ifi.;1,1 ii:-1(.I!=a=lstr.fTI,*)./.:t:Y I:r;lj:t.IJZ ir,;p,._ 14 M jJI(*2(Jj.ft_$:/!.*).,.15 M jJ1I*3 C Jj.ft_$:!.*)16 M i;1(4(J!.ft_$:!.*).17 18 ja 1J ifi.;111 ii:-1(i:a=/2fr_ fTl,*)./.:t:Y J:r;Jj:t.IJZ ir,;,x_ 18 M-iJI(*2(Ji.ft_$:/!.*).19 20.,.21 M-iJII*1(Ji.ft_$:/!.*),.21 M-iJI(*2(Ji.ft_$:!.*).22 jh.:Jf1 J JJifi.;111 ii:-3(.I lrfr_ fI1,*)./.:t:YJ:r;lj:t.IJZ ir,;,x_ 23 1 分解质因数-2024六年级奥数精讲精练含答案 -iJI(*4()(j ft$J_*)24 iJII*5(Ji ft$fl_*)25.26 -iJJ(*1(j ft$fl_*).26 -iJI(*2(Jj ft$J_*).,.27 J!h_ 1J JJID-111 ii:-3(1:r RF lrlr_ fn*).,./,3:.:.r:.YI:f-I/.)._ 9,;/-.28.,.29).Tr.30 Jib_ I ID 111 ii:-1(jl:l=e=/gr_ fTl,*)./3:.:.r:.Y/:f-/.)._ 9 _;/,X.30 M iJI 2(;i:j ft$*).31.,.32 33 -i,JJ(*1(Ji ft$jJ_*)33 -i-J11 f;2 C Ji ft$tl*)34 j!z_ lj.jffi.-Y111 i.J:-3(jJ:r l=F lsfr_ f11,*)/3:.:.r:.Y/:r-/_x_ 9,;/J-.35 jH_.;f-ij.ifi 1,1 ii:-4(jl!if:lsfr_ fTl,*)./3:.:.Y/:f-/.)._ 9,;/J-.36 M 1-;1(*5 C Ji ft$l*)37 iJ1I*6 c xi ft$l*)38 39 M 1-;1(*1 C Ji ft$l*),.39 Jib_-lf-1 ifi 111 ii:-2(j l=EF/2fr_ fTl,*)./3:.:.Y/:f-/_x_ 9 _;,0.40.,.41 m+.,.42 jh_.;f-1.1,1 ii:-1(jl: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$l*),.48+-49.,.49 2 50 jk_.:Jf1J ffi-r,11./;-1(J l=EF/2:fr_ fTl,*)./3:.r=Y/:r-/IX.:JA 50 JJh.,1 m.;,11./;-2 C 1 R:J=&fTl,*)./3:.Y/:r-J IX.:JA 51-ffez M.iJII*3(Ji Jt$fr*).,.52 Jlft.:Jf-1 JJ.;_111./;-4(B:l=EF/w_ fI1,*)./3:.Y/:r-/IX.:JA.53 _ffez-M._ iJII i*5(Ji Jt$ifr*)54.,.55-ffez-M.iJII 1(Ji Jt$fr*).,.55 _#z M._ iJI*2(j)t$fr*).56 jh_-=ff-1 Jtjfi.;111./;-3(I lsfr_ f1J,*)./3:.Y/:r-J IX.:JA 57 _#z M._-iJI(*4(Jj)t$ffr*).58 .59-ffez-M iJI(j*1(Ji Jt$A*).59 M-iJI 2(Ji.lt$*).60 _#z M._ iJI jfj;3(j)t$ffr*).61 _#z M._-iJI(fl;4(Jj.ft$jfr*)62 JJh.-=1r1J ijj.;111 i./;-5(-Ji!=if/2:fr_ fI1,*)./3:.Y/:r-/IX.:JA 63-H,II!l iJ1 H W*R 64 _ffez M._ iJI t*1(Ji)t$A*).64 _ffez M.iJII t*2(Ji.)t$ffr*)65 _ffez M iJI(*3(Ji ft$fr*).,.66 67 68 jb_-1flj JJifi.;JII i./;-1(-Ji lrfr_ fT1,*).,.-,3:.r=Ya;r,I IX.:JA 68 M iJII*2(Jj Jt$fr*).,.69 M._ iJJ(3 C Ji.)t$fr*).,.70 _#z M._ iJI(*4(j.ft$fr*).71 _ffez M-iJI(*5(Jj.ft$fA*),.72 73 Jth_.;r.,J JJITT.;111 i./;-1(-Jl:!=a=Afr_ fT!,*)./3:.r=Y/:r-/IX.:JA.73 Jib_.;r-,J JJID.;111 i./;-2(-J.&!=a=&fII,*)./3:.r=Y/:r-/IX.:JA 74-ffez M-i;1(jff;3 C Jj lt$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$J_*).,.-bT+C qJ:I-JC-IA fl f.:E.!:l:1 jh_-ff-1 JJifi.;111 ii:-1(B:HF lrfr_ frt,*)./r-c Y/:f-/J;x._:f,?).J!h_.ff1J-!JITT.;111 ii:-2(.t!=ff lrfr_ fT7,*).,./,Y I:f-I J;x._:f;J,A iJJf*3(;j ft$l*).,.M iJII f*4(;t ft$A*).M-iJI*1(;t ft$l*).,.iJJJ*2 C;t ft$*)M iJ1(fl;3 C i ft$tl*).,.4 79 80 81 82 83 83 84 85 86 87 87 88 89 90 91 1 2.3.4.-750 1X2X3X5X5X5 45(1 303-0 0 25 0 0 0 -0 0 -1 105 3X5X7 1.,.,r-2.3.5.2 X 1152(tk:)1152 27 X 32 1152 1 X 1152 2 X 576 3 X 384 4 X 288 6 X 192 8X 144 9 X 128 12 X 96 16 X 72 18 X 64 24X 48 32 X 36 1.0 3*LI T,JFX Yrfl w!*fJI$_t LU#fxt,$1fJ f:l:015t 3 ii,Yrfl 1fJ :t.tifXt 175 if!,O*ifXijrp!:j 4jf$(;t.tifX1BJifl-;tt$,-$y!g :bo;t.t ifXt?Cf HJ 4jf J.;t.t ifX1$r 1 ti.ii 2 o ti)EE r 175 if!=f:l:!g 4jf A;t.t 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 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 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$Y 4 60 X 69 X 95 X 155 X 161 X(60 2 X 2 X 3 X 5,69 3 X 23,95 5 X 19,155 5 X 31,161 7 X 23 60 X 69 X 95 X 155 X 161 2 X 2 X 3 X 3 X 5 X 5 X 5 X 7 X 19 X 23 X 23 X 31 2.285 X 875 X 324 X a 4.1 x 2 x 3 x 4 x.x 200 BJ f/q BJ*p YiJi BJO?5 1.1J -.1J;to 1JJ1t-1 Am5t Jtl!WJxJG,-:tt:1,2,3,4,5,6,7,8,9 J!fL sicJtI!,1J 09-sic JI!13150 15,1J 09-sic JI!131 f/q 63,1J 16131-siE JI!131 f/q 48 0 k p.-l 7,9;w 1J16,-sicJtI!09 f/q 48,48=1 x 2 x 2 x 2 x 2 x 3,EB r JL1 A 131 Jtl!m J!,Efr1JJ1tEl1#!PJ 2,3,8 WG 2,4,60 o:W:1JJ1t139ftt 2,3,8,iJ,z.1J 8Jt,R*r 4,5,6-sic JI!,;to Jtt M 1g 15;o*1J J1t 09 JI!2,4,6,11,z.1J JiJt,R =1 J _ 1 J 50 1 J 16*jjlJ 1m q:t 131-sic*c 4,5,6)_ c 1,7,9);to c 2,3,8)0 2.6 1 At 4 JJ 11 17 597125,J!-!rf 1m 1,1 z;to$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 11;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: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$1.30,35 tE-ll;12s11g!BJ=llm 2,t-13,39.m.B 1,t-13,Yr 143 m 39,75,421-ll;*139 1169 2,t-13,P)r 169,30,355fQ991-Jlo ffl3ftl*-139tf1!1!:na1IxfllC.vl T*.)o 511 ll -ll tt-42-2X3X7 30-2X3X5-iv 75-3X5X5 35-5X7-tt-39 3 X 13 99 3 X 3 X 11-II9 z:p-143-11 X 13 169-13 X 13-:4f 39,42,75,143 Jtjg-Jl,30,35,99,169 5J-jg!Jj 6,10,14,15,18,21,33,44 8 1.255=1 X 3 X 5 X 17 l!l tJ&m 1 J$_t BJ)-r 20 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$:tf?t 33Ll 15 ffi 2;ftJ 97?to 4.2012-14=1998 1998 EtP fl!A fj(y;p)-fQ I*fJo 1998=2 X 3 X 3 X 3 X 37=18 X 3 X 37 J3/r!A f,:yr A fQ I?tJJLl 3 A 37 Afn 18 1-o :Jr A fj Yrfi A fO I?t tJLl 3 A 37 AfO 18 1-o 1.504=23 X 32 X 7=8 X 9 X 7 Kjff*Bl*ffif:(7 x 8+7 x 9+8 x 9)x 2=382(f7f)*):BJ*OOf/q 382 3-nm*o 2.13824=33 X 29=(3 X 23)X(3 X 23)X 91(3 X 23)=24 X 24 X 24 IEnf*BJtt-ffzfn:24 x 12=288c;m*):sJtt-ff zfO 288 lm*o 3.110592=212 X 33=(24 X 3)X(24 X 3)X(24 X3)=48X48X48 IEjff*Bl*tq:48 x 48 x 6=13824(3-jfJ*):BJ*ffif 13824 f-7f ffl*o 4.54=32X6,K3lm*;96=42 X 6,J3/r*4 ffl*;150=52 X 6,)3/r-tt 5 ffl*;:kIE 7f 1*BJ 1-*fR:33+4 3+53=216=63(31:.jf ffl*):kIE:1r1-*sttK 6 ffl*o :jcIE1J1*ttit 6 ffl*o 5.*7f f*EfJ-,t-jf ffi ffi f/q=*X jWj;it 1J 1-*EfJ-1-_t ffi B1 ID f/q=K x ;J3/rKJJ1*B1-1-IEOOf0-1-_tffi f/qzfQ=-ff X(+)l!l jg it 7f 1*El K 1l 1 mi,165=11 Xl5=11 X(13+2),J3/rK7J1*1l Jtjjlj 7J 13 ffl*11*;fO 2*0 Kn1-*s11*f/q=13 x 11 x 2=286(31:.n m*):J!1-Kn1-*B11-*f/q 286 31:.jJ lm*o 1.l!J Jg!:J:iJ(13j,t-X B11X =100,)3/r 1X*sJ 1-E5*El 1X ill it 11 loo El 129 0 100=22 X 52 100=2 X 50=4 X 25=5 X 20=10 X 10 1t&lJZft 21-fn&1Xft 501-rwJ,?Jr 2 X 50 rt;jflflflJG,4 X 255 X 20 AJ J_I,0 _t 10 X 10,fr;ff 7 jAJ EfJ fl?!o :j1f 7*r!o 2.lzsI jJfij:iX ff X ff iX=168,J3/r&zx En sJ zxmit1 168 sJ l!l o 168=23 X 3 X 7 168=12 X 14=21 X 8=24 X 7=28 X 6=42X4&Jt r 10,t!L$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$T 50-t-,Yr 21 x 44,28 x 33,42 x 22 4 1*Tmftp(JL,fr 6 flf 0 =fr 6 l*fPJBJJJr!o 4.fh!i*JJ 1*8 l,M it*X X =500(tk:),i _t t 1 500?t$:.=-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#?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$1,A -fl 52-1=51 c A),3-:iff15-:h 3 ill.o :$-;!=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 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 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$1Ji)I(5 1.*fJ=t BJ:Ii J a:J O El3 lzsI 9:r mi l!l 2 fa 5 aJ*f/tk:5E aJ,-x 2 fa 5 t*aJ Pf 1i i U-t-o,Nr VJ%1 lzsI!J&?t 1!I o 48=2 X 2 X 2 X 2 X 3=24 X 3,925=5 X 5 X 37=52 X 37,38=2X19,435=3 X 5 X 29 48 X 925 X 38 X 435=25 X 32 X 53 X 19 X 29 X 37 lzsIIOJ:lzsIi:p;ff 5,t-2 fu 31-5,lzsill:tfJBJ*ffi1f 3 1-0 0 2.*f/q sJ:itt J sJ o rn lzsl fl!OJ:lzsl 2 fU 5 BJ*f/q tk:JE BJ,-xt 2 fQ 5 t*sJ i:iJ 1 U-1 o,Yr 16 re lzsI?t M mt lzsI o 285=3 X 5 X 19,875=5 X 5 X 5 X 7=53 X 7,324=2 X 2 X 3 X 3 X 3 X 3=22 X 34 285 X 875 X 324=22 X 35 X 54 X 7 X 19 lzsI IOJ:lzsI fl;ff 2 1-2 fQ 4 1-5,lzsI 11:t 11 f/q BJ*ffi;ff 5 1 ii BJ o,1W 1 1-5 f U3-f-2 o ffl a Jtt!J 2 X 2 X 2 X 5=40 0 :a:itt!J 40 o 3.tE1X2X3X4XX100 BJ*f/qi:p,2 sJ 1-JE t lzsl 5$,?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(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 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 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