Cool Trick for Factoring Numbers
Updated video (2021) - • I WISH I knew this fac...
This video teaches students a cool trick for factoring. When listing all the factors a number, students will have trouble knowing if they found ALL the factors. This video teaches students how to find factors of a number and the trick shows students how to check that they found ALL the factors.
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Пікірлер: 380
First year college student here, majoring in CS and I slacked off in math throughout school. This channel is helping me catch up so much its a lifesaver
@vinteachesmath
Жыл бұрын
I am happy to help! I am glad to hear that you are challenging yourself with a major like CS. The struggle is definitely worth it!
@Praisestoallah7
Жыл бұрын
Same reason why I’m here rn 😂
8 years later... STILL HELPING PEOPLE!
@vinteachesmath
7 ай бұрын
I am happy to help! I appreciate you supporting my old videos!
So interesting that math works like that sometimes. Best method I've found, thank you!
That's an amazing trick. I'm going to show this to my son, hopefully it will help him. Thanks for posting it.
@vinteachesmath
6 жыл бұрын
Good luck to him and thanks for watching!
@reactionfact5272
3 жыл бұрын
@@vinteachesmath oo
@reactionfact5272
3 жыл бұрын
@@vinteachesmath good luck your channel will improve
After multiple professors and KZread videos, this is the first technique and explanation I have finally been able to understand and use. Thaaaank you!
That is exceptionally cool! I had no idea - thanks for sharing :)
@thesoapboxspeaks
4 жыл бұрын
😎
BRILLIANT tutorial. Thanks so much!
@vinteachesmath
7 күн бұрын
I am happy to help! This is one of my favorite math tricks.
Thank You Very Much Sir for putting such informative video. May God Bless you so much happiness and knowledge!!!
Thank you so much dude because I take a long time listing factors and miss the sneaky ones so this video will benefit me a lot :)
@vinteachesmath
2 жыл бұрын
Glad it helped!
@creepcreambuffcultleader7788
2 жыл бұрын
Same
you used to be my old math teacher in CSI back in like 2018-2019 you were mad cool and would always tell us to watch the ads I don't think this video had nowhere near this many views at the time. good luck bro and keep it up
@vinteachesmath
Жыл бұрын
Great to hear from you and I appreciate your kind words, Anthony! I enjoyed that time at CSI, I can't believe how fast the years are going. What career path did you choose?!
@Nyc_Kicks
Жыл бұрын
@@vinteachesmath i graduated with a soc/ant degree but that never was my passion I'm a sales guy so I have always been interested in shoes and have been reselling full time and enjoy making connections with people
Thank you so much sir, this was immensely useful for me. Even as a 12th grader taking Maths, I never actually thought there was a way where you could find all factors of a number, but I had to learn. And no video on KZread was as clear as yours, not only that, but also, very easy to do. Unlike these complex methods on KZread I found that I honestly could not understand at all or memorize. But this, this is it! Thank you again. (This would've been so useful to learn when I was younger, too. But at least I know now. )
@vinteachesmath
9 ай бұрын
I am very happy to hear that this was so useful! I learned this trick in my last year of college and would have loved to learn this trick earlier!
I have always struggled with factoring numbers lol, but this trick has really helped!! Thank you so much :)
@vinteachesmath
Жыл бұрын
Happy to help! I love this trick! This should be shown in every elementary school! I wish I knew it sooner!
Thanks for the clear lesson.
@vinteachesmath
3 ай бұрын
Glad it was helpful! Thank you for supporting one of my oldest videos. I hope your school year is going well.
Thanks mate! That was really helpful.
@vinteachesmath
3 ай бұрын
Glad it helped! I love this trick, it still blows my mind.
That's fantastic! Thanks a lot for this video!
@vinteachesmath
Жыл бұрын
Glad you liked it!
This was a lifesaver. The first video I found that gives me a method that makes sense. Well explained. Thank you.
@vinteachesmath
4 жыл бұрын
Glad it helped!
Love your accent! Are you from Jersey or PA? Great video it really helped me understand.
@vinteachesmath
4 ай бұрын
NY! I'm glad you liked this video. I wish I knew this technique back in 5th grade
Thank you for this amazing technique. It's so enlightening. Can you do some videos on LCMs and GCFs, please.
Thx for this trick it helped me win a math competition
@vinteachesmath
Жыл бұрын
Congratulations on winning the math competition! That is a huge accomplishment! I am glad this trick was useful.
pretty good tip
Now this was one amazing and clear video that helped my problems. Thank you for your help.
@vinteachesmath
Жыл бұрын
Glad it helped! Best wishes with the rest of your school year!
Hello Vin, Currently I'm studying in class 5th and tomorrow is my Maths test so I searched that easiest way to find all factors of a number and after watching this video, I think there will be no doubt in my mind that how to list factors of a number and learnt few new thing from here that exponents and all that thing. It was really helpful no mater this video is uploaded 7 years ago.
@vinteachesmath
Жыл бұрын
Hope the test went well! I appreciate the support, thank you for keeping my old videos relevant! Best wishes with the rest of your school year.
This is a game changer for my 10yr old :)
@vinteachesmath
3 жыл бұрын
I am happy to help out the next generation. This trick was casually mentioned in one of my college classes and I remember thinking how I wish I had this back in the day. I wish your the 10 year old the best with this new trick!
best math teach i ever seen bro.
@vinteachesmath
7 ай бұрын
I appreciate the vote of confidence!
This might be late but THANK YOU you’ve made finding factors soooooo much easier
love the cool trick!!!
Amazing video, thanks a lot!
@vinteachesmath
11 ай бұрын
Glad you liked it! I am very happy that this video did well! I want everyone to know this awesome trick for counting factors.
Huge help... who would 'dislike' this!?!?!
@vinteachesmath
4 жыл бұрын
Thanks for the upvote! There will always be haters out there...
Thanks you helped me a lot and I mean it
Thank you after watching this video I clear prime factors concept.
@vinteachesmath
3 ай бұрын
Glad it helped and thanks for supporting one of my original videos!
Well done ,keep going.Your video was very helpful .you are best
@vinteachesmath
3 жыл бұрын
Glad it helped!
Easy to learn thank u
Very helpful video!!! 😯
THIS IS SOO HELPFUL AND I HAVE A FINAL MATH EXAM COMING UP!!!
@vinteachesmath
29 күн бұрын
How did the final go?!
@thegalaxywolf6046
27 күн бұрын
@@vinteachesmath GREAT!!
wow i've trying to relate it for a long time but with ur help its done so thank u
@vinteachesmath
3 жыл бұрын
Glad it helped!
@syedmuhamedbasheers4959
3 жыл бұрын
@@vinteachesmath yeah thanks
Great thank you 🙏
Very helpful vdo ☺️☺️
VERY COOL TRICK SIR! THANKS FOR SHARING THE TRICK. GOD BLESSES YOU ALWAYS FOR HAVING A KIND-HELPFUL-MIND!
@vinteachesmath
Жыл бұрын
I am glad you appreciate the trick! This needs to be in every elementary and middle school!
Thanks that was so helpful👍
@vinteachesmath
Жыл бұрын
Glad to hear it! Best wishes with the rest of the school year.
Very cool... I did get lost on the explanation of “The Trick”
OMG it actually works,my maths exam is tomorrow and i am always confused in finding the factors of 216,Oh My Gosh!!!!, Thank you so so so much 😊😃
@vinteachesmath
9 ай бұрын
Glad it helped! Thanks for supporting my first generation videos!
Thats a key right there
Thank you so much
Thanks dude 👍
This guy needs an award!
@vinteachesmath
3 жыл бұрын
Thanks for the vote of confidence!
@mohammedfazilpasha
3 жыл бұрын
@@vinteachesmath my pleasure!
Wow I tried it now and I got the answer easier than my brother did thanks
amazing educator much thanks
@vinteachesmath
2 жыл бұрын
Glad you think so!
Nice and easy method. Thanks
@vinteachesmath
2 жыл бұрын
Most welcome!
thank you so much!
I have a test tomorrow, and I’m trying all the videos I can.
@vinteachesmath
2 жыл бұрын
I hope your test goes well! Thanks for supporting the channel!
@creepcreambuffcultleader7788
2 жыл бұрын
@@vinteachesmath Tysm! I got 100% :)
Awesome! Helpful for gmat!
@vinteachesmath
3 жыл бұрын
Glad it helped!
Thank you!
Wonderful explanation, sir. Is there a name for the 'trick' formula, so I can look up how it's derived?
@vinteachesmath
5 ай бұрын
I found this technique in a college combinatorics textbook. It was mentioned somewhat casually but I thought it was very interesting. I remember thinking that this topic should be taught in every elementary school!
That is a VERY cool trick.
@vinteachesmath
Жыл бұрын
Glad you think so! I remember learning this counting factors technique in a college math class and thinking this would be great to learn in the earlier grade levels.
This Is sooooo Gonna help me in GRE preparation
LOVE this TRICK!!! I had some GREAT math teachers growing up but can we just clone you across the US bc these math teachers in the NW are dry and boring and they’re trying to reinvent the wheel! Stop making math so difficult for our kids! Just teach to reach! Thank you for this, I’ll pass it along to my boys.
@vinteachesmath
Жыл бұрын
I appreciate the vote of confidence! I hope the boys find it helpful!
Amazing and realy helpfull so much !
@vinteachesmath
3 жыл бұрын
Glad you think so!
You saved my day 🙂Thnq....
@vinteachesmath
Жыл бұрын
Happy to help!
2:02 why should we add the 1, were does it comes from?
Trick is very good. It gives different approach
@vinteachesmath
2 жыл бұрын
I love this trick! Thanks for watching.
Incredible tips!! Thanks a lot!
The easiest way to _find_ the factors of a larger number, is to complete the prime factorization, then we can simply list all the unique prime factors as factors., then multiply every possible combination of that number. Note that where you have more than one of the same factor, for example, if you have 3 x 3 in your prime factorization, those should be multiplied together, however, if you have 2 x 3 x 3, you don't need to multiply 2 x 3, and the 2 x 3 again. Only unique combinations count. For 90, as an example, the prime factorization as we know is 2 x 3 x 3 x 5 This therefore means that 2, 3 and 5 must be factors on their own. We can also list 1, obviously. Now if we take every possible combination of numbers from there, and multiply them we get: 2 x 3 = 6 2 x 5 = 10 3 x 3 = 9 3 x 5 = 15 2 x 3 x 3 = 18 2 x 3 x 5 = 30 3 x 3 x 5 = 45 2 x 3 x 3 x 5 = 90 Then, if we simply sort these out in order, we get: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 But what if you have a really large number? Well, it's simple. The less prime factors, the less multiplications you have to do, and vice versa For example, take 30030. I have chosen this number specifically, because its prime factorization is 2x3x5x7x11x13 Now, since there are no repeated factors, this makes it _even_ easier. Now firstly, we can obviously list 1, 2, 3, 5, 7, 11, 13, and then 30030 as factors Now let's multiply every combination: 2 x 3 = 6 2 x 5 = 10 2 x 7 = 14 2 x 11 = 22 2 x 13 = 26 3 x 5 = 15 3 x 7 = 21 3 x 11 = 33 3 x 13 = 39 5 x 7 = 35 5 x 11 = 55 5 x 13 = 65 7 x 11 = 77 7 x 13 = 91 11 x 13 = 143 2 x 3 x 5 = 30 2 x 3 x 7 = 42 2 x 3 x 11 = 66 2 x 3 x 13 = 78 2 x 5 x 7 = 70 2 x 5 x 11 = 110 2 x 5 x 13 = 130 2 x 7 x 11 = 154 2 x 7 x 13 = 182 2 x 11 x 13 = 286 3 x 5 x 7 = 105 3 x 5 x 11 = 165 3 x 5 x 13 = 195 3 x 7 x 11 = 231 3 x 7 x 13 = 273 3 x 11 x 13 = 429 5 x 7 x 11 = 385 5 x 7 x 13 = 455 5 x 11 x 13 = 715 7 x 11 x 13 = 1001 2 x 3 x 5 x 7 = 210 2 x 3 x 5 x 11 = 330 2 x 3 x 5 x 13 = 390 2 x 3 x 7 x 11 = 462 2 x 3 x 7 x 13 = 546 2 x 3 x 11 x 13 = 858 2 x 5 x 7 x 11 = 770 2 x 5 x 7 x 13 = 910 2 x 5 x 11 x 13 = 1430 2 x 7 x 11 x 13 = 2002 3 x 5 x 7 x 11 = 1155 3 x 5 x 7 x 13 = 1365 3 x 5 x 11 x 13 = 2145 3 x 7 x 11 x 13 = 3003 5 x 7 x 11 x 13 = 5005 2 x 3 x 5 x 7 x 11 = 2310 2 x 3 x 5 x 7 x 13 = 2730 2 x 3 x 5 x 11 x 13 = 4290 2 x 3 x 7 x 11 x 13 = 6006 2 x 5 x 7 x 11 x 13 = 10010 3 x 5 x 7 x 11 x 13 = 15015 2 x 3 x 5 x 7 x 11 x 13 = 30030 And so, if we list those in order, we get: 1, 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 21, 22, 26, 30, 33, 35, 39, 42, 55, 65, 66, 70, 77, 78, 91, 105, 110, 113, 143, 154, 165, 182, 195, 210, 231,273, 286, 330, 385, 390, 429, 455, 462, 546, 715, 770, 858, 910, 1001, 1155, 1365, 1430, 2002, 2145, 2310, 2720, 3003, 4290, 5005, 6006, 10010, 15015, 30030 Of course you can list them as pairs of factors: 1 | 30030 2 | 15015 3 | 10010 5 | 6006 6 | 5005 7 | 4290 10 | 3003 11 | 2720 13 | 2310 14 | 2145 15 | 2002 21 | 1430 22 | 1365 26 | 1155 30 | 1001 33 | 910 35 | 858 39 | 770 42 | 715 55 | 546 65 | 462 66 | 455 70 | 429 77 | 390 78 | 385 91 | 330 105 | 286 110 | 273 113 | 231 143 | 210 154 | 195 162 | 185
@_Dreamer_9306
9 ай бұрын
I don't know about you but honestly, I don't find it easy at all. Multiplying all possible combinations etc etc like how can I possibly do that, and sometimes there's even a certain order for it, it's just very complicated and it's easy to make mistakes doing it. I like the method shown in this video much more better. But you should do whatever you're comfortable with. What matters is that in the end the result is one, no matter how different a person's methodology might be.
@scmtuk3662
9 ай бұрын
@@_Dreamer_9306 Well, it kind of depends on how many unique prime factors there are. For example, with a number like 50, you already know 1 and 50 are factors. Then when you work out the prime factorization, you get 2 x 5 x 5. So, there's two more factors, 2 and 5. Now, when you multiply all unique combinations of these prime factors, you get 2 x 5 = 10, and 5 x 5 = 25. Those are the only ones you need to do. This gives you the factors of 50: 1, 2, 5, 10, 25 and 50. However, if you have to do something like 510,510 then even though you'll know that 1 and 510,510 are factors, when you work out the prime factorization, you'll end up with 2 x 3 x 5 x 7 x 11 x 13 x 17. While this does give you 7 more factors, i.e. 2, 3, 5, 7, 11, 13 and 17, you'll then need to multiply every unique combination of these 7 factors. In total there are 21 pairs, 35 sets of 3, 35 sets of 4, 21 sets of 5 and 7 sets of 6. This makes a total of 119 more multiplications. Quite a lot more than just 2.
Its the easiest trick of all, I will use this trick to calculate. THANK YOU VERY MUCH.
@vinteachesmath
3 жыл бұрын
Happy to help! I love this trick and I wish I knew it back in grade school!
Love this!! But I tried this method with the number 48 and it said 18 but I only got 10 factors? I don't know if something wrong or I messed up..
@vinteachesmath
6 жыл бұрын
48 = 2^4 * 3^1.. So do (4+1)*(1+1).. Then there are 10 factors of 48.
Sir salute you, I have my exams on 12th October, please wish me luck🤞🍀
@vinteachesmath
Жыл бұрын
Good luck! I hope your exams go well!
Thank you 😊 bro 👍 it did really help me
@vinteachesmath
3 жыл бұрын
Welcome 😊
@naseembegum4682
3 жыл бұрын
@@vinteachesmath will you please share us tricks on cube root and square root
super good method
thanks for the great trick!!
Mr. D, when I tried this trick for factors of 100, my product of prime numbers was 2 squared and 5 squared and my exponents were 2x2x2x2=16. I thought I would be looking for 16 factors of 100. The factors I came up with were not 16 factors but 9 factors and they are listed as 1, 2, 4, 5, 10, 20, 25, 50, 100. Please tell me where I went wrong. Same thing with factoring for the number 27. My exponents indicate 8 factors for 27. What am I doing wrong? Please help.
Thx so much it helped😊
@vinteachesmath
3 ай бұрын
Glad it helped! I love this trick.
Nice one i like it so much Thank You!!!!!!!!!
@vinteachesmath
2 жыл бұрын
I'm glad you like it!
Nice and clear Good job! 👍
In my school they call it the factor tree method
This helped me a lot thank you!
So helpful! Thank you so much!!
@vinteachesmath
7 жыл бұрын
I am glad the video helped! This trick should be taught in every school. It definitely makes it easier to verify that you have found all the factors.
Super Cool Trick
This is incredible
@vinteachesmath
7 сағат бұрын
I love this trick! Thanks for supporting one of my older videos!
thanks
Wow. Really helped me with my exam tomorrow 👌 very helpful, thanks!
brilliant from the uk
Thx bro
I dont know english even then i understood trick because of your teaching so thanks
This trick is so wonderful
@okekechinwemoses7692
Жыл бұрын
Thanks very much for sharing this trick
@vinteachesmath
Жыл бұрын
Glad you think so! I remember learning this in college and thinking it should be taught as early as possible!
Oml I did not know that trick. That is actually going to help a ton! Thank you!
Extreamly.. Hyperbolically.. Thermodynamically.. Helpful.. 😶😋😁
Thanku so much sir.
thanks man now im a pro 😎you earned a sub 😎😎😎😎😎😎😎😎
@vinteachesmath
11 ай бұрын
Thanks for the sub and the emojis!
hello sir pls when will be your next class
cool trick for my 4th grader!!
@vinteachesmath
3 жыл бұрын
I am happy to help! I hope your kid has a great school year!
Thank you so much. Your video is very helpful in avoiding mistakes while factoring.
It was very helpful
@vinteachesmath
2 жыл бұрын
Glad it helped!
Thank you
@vinteachesmath
Жыл бұрын
You're welcome! I am doing Math HW Help/Test Prep live streams on Wednesdays at 8:30pm eastern time.
Brilliant
Wow!!! Awesome
@vinteachesmath
Жыл бұрын
Glad you like it!
Please help! As stated in another comment, this does not work for #36 (or at least I think it doesnt). The trick tells me that there should be 9 factors when I can find 10. Please explain if and where I am going wrong
@vinteachesmath
6 жыл бұрын
Joycinha Borges The 9 factors of 36 are 1,2,3,4,6,9,12,18, 36 Six shows up twice put we only count it once when we list all the factors. Factors will repeat with all perfect square numbers.
@joycinhaborges2618
6 жыл бұрын
vinteachesmath thank you. Yes I finally worked it out when I counted the facrors and when I counted 6 twice!
Thanks
Yeay! Awsome
@vinteachesmath
3 жыл бұрын
Thanks for the support! Have a great school year!
Pretty cool that was awsome
@vinteachesmath
4 жыл бұрын
Thanks for the support!
such type tricks are available in indian channals also available in english
Amazing trick 👍👌
@vinteachesmath
4 жыл бұрын
I am glad you enjoyed it! Thanks for watching.