Divisibility Tests and their application on finding Prime numbers.

  Рет қаралды 25,866

mathOgenius

mathOgenius

Күн бұрын

Пікірлер: 77
@mathOgenius
@mathOgenius 2 жыл бұрын
I hope it helps !
@scar9247
@scar9247 2 жыл бұрын
Can you give me a link to your video about multiplication shortcuts?
@mathOgenius
@mathOgenius 2 жыл бұрын
there are a lot of videos on the channel on that.
@trisha.718
@trisha.718 2 жыл бұрын
I have a question bhaiya!!! who invented this awesome divisiblity tests? I remember my teacher teaching me in 3rd grade!
@trisha.718
@trisha.718 2 жыл бұрын
And can you please help me? I am in 10th and am really very nervous for my exams since we have a very huge syllabus in every subject. Can you please help me in maths? like any videos to simplify complicated chapters for class 10th students for this year?
@scar9247
@scar9247 2 жыл бұрын
@@trisha.718 hello bhai i am from india too
@SamuelTeshale-g8i
@SamuelTeshale-g8i 17 күн бұрын
I like your lecture very much! Keep it up❤❤❤
@鄧基-z1w
@鄧基-z1w 2 жыл бұрын
連除法的基本上功教到了。無得頂。多謝。十分重要。多謝。。。
@suryajustin8004
@suryajustin8004 2 жыл бұрын
wow ! this is clear , concise ,and complete , always you make me want to learn more !
@anxiousoptimism5517
@anxiousoptimism5517 2 жыл бұрын
This was very informative. Thank you for making this video.
@ms_majhi
@ms_majhi 2 жыл бұрын
Hey. U only need to check divisibility for 1 to square root of that number. For example: u want to know if 101 is prime. Square root of 101 is 10.1(suppose), u only need to check divisibility for 1 to 10 . And also u don't need to check for even number bcoz if the number is divisible by even number then it will also be divisible by 2 . So it can't be prime(except if the number itself is 2). So for 101 we only need to check for 2,3,5,7,9. The reason is simple. Suppose the number is 100. Square root of 100 is 10. So. 10x10 = 100. (Less than 10) x (Less than 10) = Less than 100) (Greater than 10) x (Greater than 10) = Greater than 100 So two numbers will only make 100 when one is less than 10 and the other is greater than 10. So if there is an integer less than 10 which divides 100 perfectly then there must be an integer greater than 10 which also divides 100 and together they make 100 when multiplied by each other. And if there is no number less than 10 which divides 100. Then there can't be a number greater than 10 which does the same. I hope this is helpful
@agapelove6746
@agapelove6746 Жыл бұрын
What is number is larger
@agapelove6746
@agapelove6746 Жыл бұрын
What if
@technotactics5082
@technotactics5082 2 жыл бұрын
I HAVE AN EXAM ON THIS TOMMOROW THANK YOU SOO MUCH
@mrTanjiro_kamado
@mrTanjiro_kamado 2 жыл бұрын
Your class make me to get more knowledge (maths)🤩
@Adityaaa640
@Adityaaa640 2 жыл бұрын
I wish you uploaded it yesterday, i had my maths exam today....
@duonghoangminh258
@duonghoangminh258 2 жыл бұрын
Tbh, you only need to test for 2,3,5,7,11,13 because if they're divisible by 4,6,8,10,12 then they're divisible by 2 and if they're divisible by 9 then they're also divisible by 3
@mathOgenius
@mathOgenius 2 жыл бұрын
yes , for this application, these are enough .
@UnknownParadox-o9k
@UnknownParadox-o9k 11 ай бұрын
​@@mathOgeniusthen 17..?
@sr6424
@sr6424 6 ай бұрын
On the 157. You shouldn’t need to check for 13 as 13 squared is 169. If any number below 169 is divisible by 13 then you will have already found a divisor! Another interesting for 13. Multiply it by 7 and then 11 it will be a multiple of 1001. Example 273 x 7 x 13 gives 21021
@vishalmishra3046
@vishalmishra3046 Жыл бұрын
*You can invent your own divisibility tests for the next prime number or use algebra to verify the existing ones* . Here is how - Assume A is a positive integer and b is a single digit. So, Ab is mathematically (10A+b). To invent your divisibility test of 7 or 13 or 17 - (10A + b) = 10 (A - 2b) + 21b. Since 21 is a multiple of 7, you just need to check if A - 2b is a multiple of 7 (10 is ignored because it's not a multiple of 7 and has no common factors). (10A + b) = 10 (A + 4b) - 39b. Since 39 is a multiple of 13, you just need to check if A + 4b is a multiple of 13 (10 is again ignored since it's not a multiple of 13 and has no common factors). (10A + b) = 10 (A - 5b) + 51b. Since 51 is a multiple of 17, you just need to check if A - 5b is a multiple of 17 (10 is again ignored since it's not a multiple of 17 and has no common factors). So, divisibility test of 17 is the same as 7 except multiply the last digit by 5 instead of 2 and check if the remaining (smaller by 1 digit) number is a multiple of 17. Repeat as needed if its not small enough. *Thank you for sharing your videos. I did not know the divisibility test of 7 but in an attempt to verify it's correctness, I was able to invent my own test for 13 which later matched as your video continued into the next prime. I added divisibility test of 17 to prove that this method of inventing new divisibility tests works for any next prime number* .
@vishalmishra3046
@vishalmishra3046 Жыл бұрын
(10A + b) = 10 (A + 2b) - 19b. Since 19 is a multiple of 10, you just need to check if A + 2b is a multiple of 19 (10 is again ignored since it's not a multiple of 19 and has no common factors). So, divisibility test of 19 is the same as 7 except *ADD* instead of subtracting twice of last digit and check if the remaining (smaller by 1 digit) number is a multiple of 19. Repeat as needed if its not small enough. Example: 4446 => 444 + 12 = 456 => 45 + 12 = 57 => 5 + 14 = 19 which is a indeed a multiple of 19. Is *437* a prime number ?
@yanyan4125
@yanyan4125 2 жыл бұрын
How to cube 2 digit number pls, make a video about it.
@HeroProMan27
@HeroProMan27 2 жыл бұрын
Yeeh ! My Best and favourite brother has uploaded a video I am so happy to watch it and I am very happy to watch your video after 1 month thanks a lot and if you need any type of help from me if I am able to do it I will try my best to help you because I sincerely consider you my brother and friend. Brother thank you very much and thanks a lot for uploading video I was really sad because you were not uploading the video but today I am very happy and I am very happy because today is my luckyest day to watch you.
@HeroProMan27
@HeroProMan27 2 жыл бұрын
Brother as like as in your project on black hole video I have commented you and you have give it a ❤ Same as that Brother if you are able to pin or otherwise like a give ❤ on my comment so please Do it to promote your channel more to grow faster.
@HeroProMan27
@HeroProMan27 2 жыл бұрын
And if you really like my comment so please give a Shout Out on my channel also.
@WasteChennel
@WasteChennel 2 жыл бұрын
Nice comment bro I am always with you thinking about this methOgenius sir
@WasteChennel
@WasteChennel 2 жыл бұрын
Great comment I am always with you
@WasteChennel
@WasteChennel 2 жыл бұрын
In the manner in which you are commenting and the mathOgenius sir is talking I think that you both are brother because you are always writing a word brother and a friend Anyway I don't care because I hope that if you are both are not brother but in which manner and you both are talking I hope that you were always be a friend or a brother not in real life but in online you are always be brother I wish to God and pray to God to make your friendship or family nice always together
@thebreauxadventure5538
@thebreauxadventure5538 Жыл бұрын
It helps alot
@jesseelechi
@jesseelechi Жыл бұрын
Division by 11 is easier if you subtract the last digit by the rest Example 121 = 12-1 =11
@srivatsavan2991
@srivatsavan2991 Жыл бұрын
Can you please upload a vedio on chika's rule
@epicmovement6366
@epicmovement6366 2 жыл бұрын
You make good math video
@UnknownParadox-o9k
@UnknownParadox-o9k 11 ай бұрын
5:37 Why u added 5+2 while 5 is not a even number..?
@ruksanak.b5135
@ruksanak.b5135 4 ай бұрын
Me also don’t understand it
@yuvakrishna6
@yuvakrishna6 2 жыл бұрын
Loved it
@chinoutugirl111
@chinoutugirl111 2 жыл бұрын
Checking if 147 is divisible by 7: 7×2=14 14-14 0 ans
@WasteChennel
@WasteChennel 2 жыл бұрын
In the manner in which the ( Aaradhya Gujar ) commenting and the mathOgenius sir is talking I think that you both are brother because Aaradhya always writing a word brother and a friend Anyway I don't care because I hope that if you are both are not brother but in which manner and you both are talking I hope that you were always be a friend or a brother not in real life but in online you are always be brother I wish to God and pray to God to make your friendship or family nice always together
@RAHULKUMAR-ju1qs
@RAHULKUMAR-ju1qs Жыл бұрын
Prime no generally in the form of 6n+1 or 6n-1 for >3
@EustacheAlemba
@EustacheAlemba 9 ай бұрын
I will never struggle with finding prime numbers any more!!!!!!!!!😅
@choti2268
@choti2268 Жыл бұрын
How I do is test for 2 by add that number and test for 2. Similarly add other number individually and test for 3 , 5 and 7 . Finally 13. Much faster
@mijaelmarcelovillarroelchu6513
@mijaelmarcelovillarroelchu6513 2 жыл бұрын
Hello, could you help me with this problem, so that I can find free time to dedicate to mathematics, I have this homework that is part of my routine and I want to see how I could make it less stressful or tiring, I have 11 subjects that I did in high school and these are; Chemistry, Social Sciences, Mathematics, Biology, Philosophy, Plastic Arts, Language, Physics, English, Music, Religion because my school is Catholic, I already saw your intercalation video but I don't know how I could intersperse these subjects and get good scores in my exams In addition to correctly learning each topic that is presented to me, I also saw a video of a youtuber called Fayelinn but her way of organizing the topics is very masochistic and unnecessary, I also take a private English course that lasts an hour and 30 minutes from 5 -6:30 pm, besides that I also help my mother in her work washing dishes that takes me about an hour, in short, if you can help me with my hour of self-study, that is, my study sessions to be able to assimilate each lesson correctly I would like each subject since I have tried to do it but I don't know how to do it since the videos I see are more aimed at the university. Anyway, to complement my class schedule is like this: Monday: Chemistry, Social Sciences and Math 8-1pm Tuesday: C.sociales, ED. Physics, Biology 8-12.20 pm and in the afternoon Art. talks and philosophy 2:30-5:30 pm Wednesday: Language Arts, Social Sciences, and Physical 8-12:20 pm Thursday: Social Studies, Biology, English 8-12:20 pm Friday: Math, music, religion and language 8-1pm Every afternoon from 5 to 6:30 pm I have English classes from Monday to Friday. [5:27 p. m., 28/9/2022] Villarroel Churqui: and all the weekend i do my homework of this week
@alokpink999
@alokpink999 Жыл бұрын
Please do you upload English speaking classes please 🥺🥺🥺🙏🙏🙏
@mr_devil_yt_1
@mr_devil_yt_1 Жыл бұрын
I Tried 97632 And It's Camed 11 But It's Not Divisible By 11.
@trisha.718
@trisha.718 2 жыл бұрын
we learnt it in 3rd grade!!!
@sbvenom663
@sbvenom663 2 жыл бұрын
Can't believe 2,3,5,6,11 my math sir told Were these
@Englishquizz754
@Englishquizz754 2 жыл бұрын
Yar 🥺🥺🥺🥺💕
@HeroProMan27
@HeroProMan27 2 жыл бұрын
Brother ! I know that you are not able to read or reply on my comment but I hope that you will make video on Dussehra for promoting your channel I am just advising you.
@HeroProMan27
@HeroProMan27 2 жыл бұрын
And if you really like my this comment so please give a like I know that you are not able to give a heart because this comment doesn't promote any type of quality to you I know that but please give a like on it And I believe on you that you will give a like because you are my best brother and my best friend
@adiljamal3509
@adiljamal3509 3 ай бұрын
I did it is 0.9
@দলিলদস্তাবেজ
@দলিলদস্তাবেজ 2 жыл бұрын
💖💖🙂🙂🙂
@wajid_777
@wajid_777 2 жыл бұрын
1st
@Sonia150
@Sonia150 2 жыл бұрын
❤💯🙂
@kmr3394
@kmr3394 2 жыл бұрын
I didnt understand divisible by 11 even odd?
@Arushiii_core
@Arushiii_core Жыл бұрын
See imma give you an example .take this no as example : 5678934 Now from 4 start naming the number s as odd and even O=odd and E=even 5 6 7 8 9 3 4 O E O E O E O Now add the odd numbers and even numbers Odd=4+9+7+5=25 Even=3+8+6=17 Subtract the numbers now 25-17=8 Is 8 divisible by 11 No So your number 5678934 is not divisible by 11
@Gabriela.Lamira
@Gabriela.Lamira Жыл бұрын
​@@Arushiii_corethank you for that!
@sbvenom663
@sbvenom663 2 жыл бұрын
WHAT DIVISIBILITY BY 3 MY MATH SIR TAUGHT ME 1 YEAR AGO
@bhuneshwarsahu3800
@bhuneshwarsahu3800 2 жыл бұрын
B k
@govindaraj7994
@govindaraj7994 2 жыл бұрын
157
@zrking78
@zrking78 2 жыл бұрын
Bro try my best but I can't learn math why
@mathOgenius
@mathOgenius 2 жыл бұрын
then I think you have to go back to basics and start building up from there.
@NishantCosmos
@NishantCosmos 2 жыл бұрын
grab primary ncert books
@vikasc5
@vikasc5 2 жыл бұрын
You are Indian or foreigner
@mathOgenius
@mathOgenius 2 жыл бұрын
Indian
@pika7334
@pika7334 2 жыл бұрын
Who is average student here Attendance
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