Divisors nezimpinda

"Izinombolo Multiple" nesihloko bafundelwa grade 5 isikole. Umgomo yalo iwukuba ukuthuthukisa amakhono etemlomo nalabhalwako of izibalo ezithile. Lesi sifundo wethula imiqondo emisha - i-"zesi" futhi "splitters", ugcwalisekile amasu lokuthola divisors nezimpinda yenombolo zemvelo, ikhono ukuthola NOC ngezindlela ezihlukahlukene.

Lesi sihloko kubaluleke kakhulu. Ulwazi singasebenza ekuxazululeni izibonelo enamafrakshini. Ukuze wenze lokhu, udinga ukuthola zifana by kuhlaziywa okuncane kokuphinda okuvamile (LCM).

A nesibaya kubhekwa inenombolo ukuthi uyahlukaniswa ngu benganakwa muntu.

18: 2 = 9

Njalo nenombolo evumayo ephelele has ngokungenamkhawulo eziningi zesi izinombolo. It is uqobo kubhekwe ukuba uye kulencane kakhulu. Songa asikwazi ukuba ngaphansi kwenani uqobo.

umsebenzi

Sine ukufakazela ukuthi inombolo 125 kuyinto eziningi inombolo 5. Ukuze wenze lokhu, ukwehlukana Inombolo yokuqala ngosuku lwesibili. Uma 125 uyahlukaniswa ngu 5 benganakwa ke impendulo inguyebo.

Zonke izinombolo yemvelo kungenziwa ihlukaniswe: 1. lihlukana eziningi yena.

Njengoba sazi, isibalo ukuqoqwa abizwa ngokuthi "idividendi", "ehlukanisayo", "yangasese".

27: 9 = 3,

lapho 27 - idividendi, 9 - ehlukanisayo 3 - quotient.

Ukuphindaphindwa kuka 2, - lezo lapho lahlukaniswa musa yakha ezisalayo. Bonke ngisho.

Ukuphindaphindwa kuka 3 - kangangokuthi akukho izinsalela zihlukaniswe ezintathu (3, 6, 9, 12, 15 ...).

Ngokwesibonelo, 72. Le nombolo iphindaphindeke 3, ngoba uyahlukaniswa ngu 3 ngaphandle okusele (njengoba yaziwa, inombolo uyahlukaniswa ngu 3 ngaphandle esele, uma isamba kwamadijithi yayo uyahlukaniswa ngu 3)

isamba 7 + 2 = 9; 9: 3 = 3.

Ingabe inombolo 11, ukuphindaphinda kwe-4?

11: 4 = 2 (zinsalela 3)

Impendulo: akuyona, njengoba kukhona esele.

amaningi Elivamile integers ezimbili noma ngaphezulu - kuba, okuyinto ihlukaniswe ngenani akukho zinsalela.

K (8) = 8, 16, 24 ...

K (6) = 6, 12, 18, 24 ...

K (6,8) = 24

LCM (ezivamile okungenani amaningi) zimi kanje.

Ukuze inombolo ngayinye ezidingekayo ngalinye ukuba libhale phakathi zesi string - kuze ekutholeni okufanayo.

NOC (5, 6) = 30.

Le ndlela isebenza izinombolo ezincane.

Lapho kubalwa NOC ukuhlangabezana izimo ezikhethekile.

1. Uma udinga ukuthola eziningi ezivamile 2 izinombolo (isib, 80 no-20), lapho omunye wabo (80) uyahlukaniswa ngenye (20), khona-ke le nombolo (80) futhi amaningi owesincane izinombolo ezimbili.

NOC (80, 20) = 80.

2. Uma ezimbili izinombolo eziyinhloko abanalo isihlukanisi ezivamile, singasho ukuthi NOC zabo - iwumkhiqizo lezi zinombolo ezimbili.

NOC (6, 7) = 42.

Cabanga ngesibonelo zokugcina. 6 no-7 ngokuphathelene 42 kukhona divisors. Bahlanganyela iphindaphindeke akukho zinsalela.

42: 7 = 6

42: 6 = 7

Kulesi sibonelo, 6 no-7 zibhangqwe divisors. umkhiqizo wabo ilingana nempindampinda (42).

6x7 = 42

Inombolo libizwa prime uma noma 1 (3: 1 = 3 3 3 = 1) uyahlukaniswa kuphela ngokwalo. I nabanye ngokuthi oluyinhlanganisela.

Ngo esinye isibonelo, isidingo ukunquma ukuthi the ehlukanisayo 9 mayelana 42.

42: 9 = 4 (zinsalela 6)

Impendulo: 9 akuyona isihlukanisi ka 42 ngoba kukhona ibhalansi kumpendulo.

I ehlukanisayo lihlukile izikhathi ukuthi ehlukanisayo - lena inombolo ngawo ukwehlukana izinombolo zemvelo, bese ugoba ngokwayo lihlukaniswe by le nombolo.

I isihlukanisi esikhulu esivamile yezinombolo a futhi b, iphindwe nesibaya zazo ezincane azinikele umkhiqizo izinombolo a futhi b.

Okungukuthi: GCD (a, b) x LCM (a, b) = b x.

zesi Elivamile ngaphezulu eqela zimi kanje.

Ngokwesibonelo, ukuthola NOC for 168, 180, 3024.

Lezi zinombolo ukubola zibe eziyinhloko, abhalwe njengamazwi umkhiqizo amandla:

168 = 2³h3¹h7¹

= 180 2²h3²h5¹

3024 = 2⁴h3³h7¹

Yibe usubhala bonke base-degree ne ukusebenza enkulu ngibandise:

2⁴h3³h5¹h7¹ = 15120

NOC (168, 180, 3024) = 15120.