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Divisibility, Prime Numbers, and Prime Factorization

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Now that we understand division, we can talk about divisibility. A number is divisible by another if their quotient is a whole number. The smaller number is a factor of the larger one, but are there numbers with no factors at all? There's some pretty surprising stuff in this one!
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Опубликовано:

22 авг 2024

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Комментарии : 83

@mysterioussoup3393 Год назад

I've learned more in 3 hours by bringing this series than my entire school life.

@sunnywunny 11 месяцев назад

fellow geometry dasher

@mysterioussoup3393 11 месяцев назад

@@sunnywunny greetings.

@travelvids9386 Месяц назад

Same

@AsheandAscend 2 часа назад

No Fr and I sucked at math

@SnagglieFang Год назад

I really appreciate the way he explains things in these math lessons.

@moupiyasawoo1504 2 месяца назад

In the late 30's of my life, I am finding maths interesting! Thank you prof. Dave

@travelvids9386 Месяц назад

Same!

@bilher4073 Год назад

Hello, Prof Dave. I'm glad I found your channel. It's a big help for my coming exam.

@a-rrahman1726 4 года назад

I love ur way of explaining professor... am big fan than just student

@Navy62794 2 года назад

Me too

@NathanWhite-zt8mh 2 дня назад

Im try ing to learn every branch of math before 7th grade and im glad i started at the beginning since i need to make sure i know every last detail about every branch. Thanks Prof dave!

@mosessumaoy Год назад

I learned more from you than most of my teachers the instructions are very detailed. I usually take the test I am so happy to get accurate answers. Thank you so much.

@Stoirelius 4 года назад

I had no idea there were infinitely huge prime numbers, that's amazing.

@worsethanjoerogan8061 3 года назад

It's a very good thing considering our encryption algorithms depend heavily on it being difficult to compute huge prime numbers

@carl8790 Год назад

@@worsethanjoerogan8061 or it will take so long that it's not worth it, but quantum computing seems to threatened this method. It's going to be interesting how we're going to overcome it, either by brute-forcing our way, or coming up with a new method for encryption.

@MiltosPol-qn3zh 7 лет назад

Pls when you finish the basics for algebra and geometry make s video for cos,tan and sin.(I'm from greece and I always watch your videos

@ProfessorDaveExplains 7 лет назад

oh don't you worry, trigonometry tutorials have already been shot! it'll just take me a month or two to get through the easier math, but i will cover everything you need.

@symbolbouchardnoteira8155 4 года назад

@@ProfessorDaveExplains experiments measuring artistic communication and music commincation all data measures?

@alyxkrieger6764 3 года назад

I loved this!!! feels kind of like a game itself.

@alietitiz4999 3 года назад

I'm 62. I love Mathematics, never got in my life. Only section I could understand in mathematics books are prefaces; and in mathematics magazines are letter from readers. Hope I'll understand something... Thanks in advance..

@pedroespindola2014 Год назад

Hello Dave! you're great teaching! i'm learning so much w/ you, thanks for all of it! from Brazil.

@c.p.holmes6184 3 года назад

These videos are helping me to relearn math just before my TSI. I graduated back in 2016, and I've not retained much of what I learned in school, so these are a very big help. Thank you.

@everythingmv2624 5 месяцев назад

finally i can understand these prime numbers, thanks prof Dave

@karljo8064 2 года назад

As a thirtysomething, I've decided to start learning basic maths.

@mayajohn828 2 года назад

Thank you sooo much i really needed this because i have a maths exam tomorrow and i had no clue how to work out a prime number until i watched your video professor

@love_radiation6408 3 года назад

3:10 Why 48 and 112 are a prime numbers? They can be divided by two.

@Djaouad2.0 2 года назад

damn true

@mussabamin4123 2 года назад

they are not prime numbers . the number writed in the video is a complete number who is: 48112959837082048697 is a prime number

@carl8790 Год назад

No, that's not how that works. It's like saying that the 4 in 47 can be divided into 2, so therefore 47 isn't a prime number, which is wrong. You have to factor the whole number.

@TechSciWiz 2 месяца назад

Thanks, Prof Dave, clearly understand!!

@VikramSingh-dj5hh 4 года назад

Hello Prof. I am thankful to you for your efforts.. It would be a great help if you provide exercises of these lectures. May be 10-15 questions.. so that we can practice simultaneously.. A big thanks again 🙏

@alissonmatheus976 11 месяцев назад

thanks a lot man! a hug from Brazil!

@adityashankar5267 5 лет назад

Hello...please make a video on modular arithematic

@Jasmita-8 Год назад

Thank u for the awesome session professor Dave!

@MasterCorneilous Год назад

For those who are a little lost to why 15 is not a prime number. The reason is its because it has more than 2 factors. It has 4. Factors. I beileve. Correct me if I gotten anything wrong

@ReisseT Год назад

You are right ; it can be 1, 3, 5, and 15. 4 factors.

@tangankananroschild8485 Год назад

i love your intro always make me laugh before exploding my brain cell 🤣

@MrA-ou1xd 2 года назад

60=2x2x3x5 72=2x2x2x3x3 135=3x3x3x5 280=2x2x2x5x7

@TripSaviour 4 года назад

In India we are taught this like a method , put a vertical line and write number at the right side, like 60, and at left side write the number by which it's least divisible, like here 2, and then write 30 below 60 after putting a horizontal line, and repeat it you will get, 60, 30, 15, 5 ,1 😊 this is easy

@unstable8968 4 года назад

That's actually how they teach to do it in Spain

@rocka8029 5 лет назад

Thank you, it helped a lot! :D

@edwardwoods2991 5 лет назад

I have a quick, sort of off topic, question for you Dave. The list of Prime numbers would be considered a countable infinity, correct? And the list of real numbers from 1 to 0 would be an uncountable infinity?

@ProfessorDaveExplains 5 лет назад

yes i believe that is correct!

@chourouk-gr9qg Месяц назад

Thnx

@fragglyone7607 5 месяцев назад

I have a question. 60 equals 2 * 2 * 3 * 5, however, if I write it down as 5 * 2 * 3 * 2, does that answer work as well? It's all the same numbers.

@brenthelder9250 4 месяца назад

Absolutely! In mathematics, when we're dealing with multiplication, the order of factors doesn't change the result. This property is called the commutative property of multiplication. So, whether you write the prime factorization of 60 as 2 * 2 * 3 * 5 or as 5 * 2 * 3 * 2, the content remains the same. Both representations are completely valid because they consist of the same prime numbers multiplied together.Therefore, writing it as 5 * 2 * 3 * 2 does indeed work just as well as 2 * 2 * 3 * 5. They both represent the same number, 60, and follow the Fundamental Theorem of Arithmetic.

@WisteriaIsus 6 месяцев назад

Thank you!!

@margaretsams7026 2 года назад

Thank you so much Professor Dave. My four graders needed a video on divisibility. Your examples are great!

@tGoldenPhoenix 2 года назад

Thank you.

@ShifanawazWellnessPlaceForYou Год назад

Stay Blessed, Prof Dave. Best wishes from Pakistan 🇵🇰 ❤

@roamer2891 9 месяцев назад

You are amazing

@rillyv11 6 месяцев назад

"No matter how big the biggest one we found, there's always a bigger one". That's what she said.

@professorelixir3351 3 месяца назад

😢

@imjustagirl_1234-q8b Месяц назад

LMAOOOOOOOOOO

@user-gx6qb7pt7k 4 месяца назад

❤❤❤❤I love the video

@mahrantabbabi9358 3 года назад

I want to understand why we don't take numbers beyond the half of the number as factors how did we get to this conclusion I think I get it but I don't understand how we got there This might sound wierd but if I could I wanna know how the first one who found it did find it what is the logic behind that how did his mind work

@Alex-02 3 года назад

We didn't decide not to take any, there are none. I promise this will be obvious once you realize why so stick with me here. When trying to find factors of a number, let's say x, you will have been succesful if you find two whole numbers multiplied by each other to get x. There can't be any factors of x inbetween x and x/2. If you tried to look at those numbers you would find they all become something inbetween 1 and 2. I will write down a table to demostrate this. This would be for the number 10, there can't be any factors of 10 past 5 (6-9) because all those values would have to be multiplied by a number between the whole numbers 1 and 2. 10=1x10 10=2x5 10=3x3.333... 10=4x2.5 10=5x2 10=6x1.66... 10=7x1.42... 10=8x1.25 10=9x1.1111 10=10x1

@tennesseeonruang9600 2 года назад

Does anybody know where the mensuration part is in this series?

@deletioninducedin7days919 3 года назад

For comprehension, can the numbers be at a different order? Please answer

@scratchingcatclaw Год назад

Multiplication follows the commutative property so yes

@abdulhasibn1022 3 месяца назад

Why should we factorize the number anyways - I am terrible at Math

@IsabellalvesBrasil 2 года назад

48 is not a prime number, it is divided by 2, 6, 8 .., 112 can be divided by 2. 959 by 13, those examples are not valide

@ryanalexander2399 Год назад

That wasn't listing individual numbers, rather the whole sequence is one number. It's saying that 48,112,959,837,082,048,697 is a prime number.

@ghaziahshoeb Год назад

nor is 082 048 ,maybe its miswritten

@DanielleDagg 8 месяцев назад

Sub to him if you guys like him

@mamadwali4278 Месяц назад

❤❤❤

@dragonaj7080 4 года назад

60=1,2,3,4,5,6,10,12,15,20,30

@jaswinderkaur6215 6 лет назад

set of prime numbers divisble by 3???

@ProfessorDaveExplains 6 лет назад

by definition no prime numbers are divisible by 3, or any other number besides 1 and themselves.

@_sbmangiepangie6982 3 года назад

if I use 10 and 35 for 135 I wouldn't get the same answer

@ReisseT Год назад

Of course not , cuz 10* 35 is 350, not 135…

@sibhaktullahsibhaktullah7898 3 года назад

😭😭😭😭🤔😜😜😜🙏

@onion4life495 7 лет назад

Your videos are great; however, I guarantee you'd get more views if you made your intro less silly. The dichotomy between your straightforward, semi serious tone//delivery and the tone of the opening is jarring imho.

@ProfessorDaveExplains 7 лет назад

more people love it than hate it. i'm a silly fellow, and it suits me.

@Stoirelius 4 года назад

Even though you're right about the dichotomy, I guarantee you're wrong about the views. The opening is a constant reminder that his channel is on a level that is accessible to anyone. I don't like it as well, but it's a good marketing move.