Naučil se boš razcepljati števila na manjše dele in iskati,... Show more
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Updated Apr 10, 2026
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Razcep na prafaktorje, skupni večkratniki in delitelji
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Ključni pojmi, ki jih moraš poznati
Praštevilo ima samo dva delitelja - samega sebe in število 1. Zapomni si jih do 20: 2, 3, 5, 7, 11, 13, 17, 19. Število 2 je edino sodo praštevilo!
Sestavljeno število lahko razdeliš na več manjših delov. Na primer, 12 lahko razdeliš na 2 × 2 × 3. Prafaktor je praštevilo, ki natančno deli tvoje število.
Največji skupni delitelj (D) je največje število, ki deli obe tvoji števili. Potrebuješ ga za krajšanje ulomkov. Najmanjši skupni večkratnik (v) je najmanjše število, ki je večkratnik obeh tvojih števil - potrebuješ ga za seštevanje ulomkov.
💡 Nasvet: Število 1 ni ne praštevilo ne sestavljeno število. To je poseben primer!
Razcep števila na prafaktorje
Nariši navpično črto in število postavi na levo stran. Zdaj boš delil z najmanjšimi praštevili - začni z 2, potem 3, 5, 7...
Deli z istim praštevilom, dokler se da. Ko ne gre več, vzemi naslednje praštevilo. Ponavljaj, dokler na levi strani ne dobiš rezultat 1.
Na primer za število 36: deli z 2 (dobiš 18), spet z 2 (dobiš 9), potem z 3 (dobiš 3), še enkrat z 3 (dobiš 1). Torej 36 = 2² × 3².
🎯 Pomembno: Ne pozabi deliti do konca - dokler ne dobiš samih praštevil na desni strani!
Izračun največjega skupnega delitelja (D)
Najprej naredi razcep obeh števil na prafaktorje. Potem poišči skupne prafaktorje - tiste, ki se pojavijo v obeh razcepih.
Za vsak skupni prafaktor vzemi najmanjšo potenco (tistega z najmanj ponovitvami). Te prafaktorje zmnoži med seboj.
Če za 18 = 2 × 3² in 24 = 2³ × 3 iščeš D(18, 24), vzameš 2¹ (manjša potenca) in 3¹ (manjša potenca). Torej D(18, 24) = 2 × 3 = 6.
⚠️ Pazi: Če ni nič skupnega, je D = 1. Takim številom rečemo tuji števili.
Izračun najmanjšega skupnega večkratnika (v)
Spet začneš z razcepom obeh števil. Tokrat izpišeš vse različne prafaktorje, ki se pojavijo v kateremkoli razcepu.
Za vsak prafaktor vzameš največjo potenco (tistega z največ ponovitvami). Te prafaktorje zmnoži med seboj.
Za isti primer 18 = 2 × 3² in 24 = 2³ × 3 vzameš 2³ (večja potenca) in 3² (večja potenca). Torej v(18, 24) = 2³ × 3² = 8 × 9 = 72.
🔍 Preveri se: D(a, b) × v(a, b) = a × b. Za naš primer: 6 × 72 = 432 in 18 × 24 = 432. Deluje!
Rešeni primer korak za korakom
Poiščimo D(60, 84) in v(60, 84). Najprej razcep: 60 = 2² × 3 × 5 in 84 = 2² × 3 × 7.
Za največji skupni delitelj vzamemo skupne prafaktorje z najmanjšimi potencami. Skupna sta 2 in 3, oba z najmanjšo potenco 2² oziroma 3¹. Torej D(60, 84) = 2² × 3 = 12.
Za najmanjši skupni večkratnik vzamemo vse prafaktorje z največjimi potencami: 2², 3¹, 5¹, 7¹. Torej v(60, 84) = 2² × 3 × 5 × 7 = 420.
✨ Zapomniti: D je vedno manjši ali enak najmanjšemu številu, v pa večji ali enak največjemu številu.
Povzetek za test in koristni nasveti
Postopek za D: Naredi razcep → vzami skupne faktorje → vzami najmanjše potence → zmnoži. Postopek za v: Naredi razcep → vzami vse faktorje → vzami največje potence → zmnoži.
Zapomni si ta trik: pri D bereš "skupni" in "manjši", pri v pa "vsi" in "večji". To ti bo pomagalo, da ne boš zamenil postopkov.
Če ti na testu zmanjka časa, preveri rezultat z formulo D(a, b) × v(a, b) = a × b. Če se rezultata ujemata, imaš pravi odgovor!
🚀 Za uspeh: Naučit se moraš praštevila do 20 na pamet - to bo pospešilo tvoj razcep in prihranil čas na testu!
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Most popular content in Matematika
Most popular content
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.6/5
App Store
4.7/5
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
Razcep na prafaktorje, skupni večkratniki in delitelji
Naučil se boš razcepljati števila na manjše dele in iskati, kaj imajo števila skupnega. To ti bo super pomagalo pri računanju z ulomki, ker boš lahko krajšal in združeval ulomke hitreje in lažje.
Ključni pojmi, ki jih moraš poznati
Praštevilo ima samo dva delitelja - samega sebe in število 1. Zapomni si jih do 20: 2, 3, 5, 7, 11, 13, 17, 19. Število 2 je edino sodo praštevilo!
Sestavljeno število lahko razdeliš na več manjših delov. Na primer, 12 lahko razdeliš na 2 × 2 × 3. Prafaktor je praštevilo, ki natančno deli tvoje število.
Največji skupni delitelj (D) je največje število, ki deli obe tvoji števili. Potrebuješ ga za krajšanje ulomkov. Najmanjši skupni večkratnik (v) je najmanjše število, ki je večkratnik obeh tvojih števil - potrebuješ ga za seštevanje ulomkov.
💡 Nasvet: Število 1 ni ne praštevilo ne sestavljeno število. To je poseben primer!
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Razcep števila na prafaktorje
Nariši navpično črto in število postavi na levo stran. Zdaj boš delil z najmanjšimi praštevili - začni z 2, potem 3, 5, 7...
Deli z istim praštevilom, dokler se da. Ko ne gre več, vzemi naslednje praštevilo. Ponavljaj, dokler na levi strani ne dobiš rezultat 1.
Na primer za število 36: deli z 2 (dobiš 18), spet z 2 (dobiš 9), potem z 3 (dobiš 3), še enkrat z 3 (dobiš 1). Torej 36 = 2² × 3².
🎯 Pomembno: Ne pozabi deliti do konca - dokler ne dobiš samih praštevil na desni strani!
Sign up to see the contentIt's free!
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Izračun največjega skupnega delitelja (D)
Najprej naredi razcep obeh števil na prafaktorje. Potem poišči skupne prafaktorje - tiste, ki se pojavijo v obeh razcepih.
Za vsak skupni prafaktor vzemi najmanjšo potenco (tistega z najmanj ponovitvami). Te prafaktorje zmnoži med seboj.
Če za 18 = 2 × 3² in 24 = 2³ × 3 iščeš D(18, 24), vzameš 2¹ (manjša potenca) in 3¹ (manjša potenca). Torej D(18, 24) = 2 × 3 = 6.
⚠️ Pazi: Če ni nič skupnega, je D = 1. Takim številom rečemo tuji števili.
Sign up to see the contentIt's free!
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Izračun najmanjšega skupnega večkratnika (v)
Spet začneš z razcepom obeh števil. Tokrat izpišeš vse različne prafaktorje, ki se pojavijo v kateremkoli razcepu.
Za vsak prafaktor vzameš največjo potenco (tistega z največ ponovitvami). Te prafaktorje zmnoži med seboj.
Za isti primer 18 = 2 × 3² in 24 = 2³ × 3 vzameš 2³ (večja potenca) in 3² (večja potenca). Torej v(18, 24) = 2³ × 3² = 8 × 9 = 72.
🔍 Preveri se: D(a, b) × v(a, b) = a × b. Za naš primer: 6 × 72 = 432 in 18 × 24 = 432. Deluje!
Sign up to see the contentIt's free!
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Rešeni primer korak za korakom
Poiščimo D(60, 84) in v(60, 84). Najprej razcep: 60 = 2² × 3 × 5 in 84 = 2² × 3 × 7.
Za največji skupni delitelj vzamemo skupne prafaktorje z najmanjšimi potencami. Skupna sta 2 in 3, oba z najmanjšo potenco 2² oziroma 3¹. Torej D(60, 84) = 2² × 3 = 12.
Za najmanjši skupni večkratnik vzamemo vse prafaktorje z največjimi potencami: 2², 3¹, 5¹, 7¹. Torej v(60, 84) = 2² × 3 × 5 × 7 = 420.
✨ Zapomniti: D je vedno manjši ali enak najmanjšemu številu, v pa večji ali enak največjemu številu.
Sign up to see the contentIt's free!
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Povzetek za test in koristni nasveti
Postopek za D: Naredi razcep → vzami skupne faktorje → vzami najmanjše potence → zmnoži. Postopek za v: Naredi razcep → vzami vse faktorje → vzami največje potence → zmnoži.
Zapomni si ta trik: pri D bereš "skupni" in "manjši", pri v pa "vsi" in "večji". To ti bo pomagalo, da ne boš zamenil postopkov.
Če ti na testu zmanjka časa, preveri rezultat z formulo D(a, b) × v(a, b) = a × b. Če se rezultata ujemata, imaš pravi odgovor!
🚀 Za uspeh: Naučit se moraš praštevila do 20 na pamet - to bo pospešilo tvoj razcep in prihranil čas na testu!
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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Students love us — and so will you.
4.6/5
App Store
4.7/5
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user