Cool Trick for Factoring Numbers 

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

8 years later... STILL HELPING PEOPLE!

That's an amazing trick. I'm going to show this to my son, hopefully it will help him. Thanks for posting it.

After multiple professors and RU-vid 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 :)

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

So interesting that math works like that sometimes. Best method I've found, thank you!

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 :)

This was a lifesaver. The first video I found that gives me a method that makes sense. Well explained. Thank you.

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 RU-vid was as clear as yours, not only that, but also, very easy to do. Unlike these complex methods on RU-vid 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. )

I have always struggled with factoring numbers lol, but this trick has really helped!! Thank you so much :)

Very cool... I did get lost on the explanation of “The Trick”

Love your accent! Are you from Jersey or PA? Great video it really helped me understand.

Thank You Very Much Sir for putting such informative video. May God Bless you so much happiness and knowledge!!!

This might be late but THANK YOU you’ve made finding factors soooooo much easier

BRILLIANT tutorial. Thanks so much!

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.

Thank you for this amazing technique. It's so enlightening. Can you do some videos on LCMs and GCFs, please.

Hello other struggling math students

Thx for this trick it helped me win a math competition

pretty good tip

Now this was one amazing and clear video that helped my problems. Thank you for your help.

That's fantastic! Thanks a lot for this video!

THIS IS SOO HELPFUL AND I HAVE A FINAL MATH EXAM COMING UP!!!

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 😊😃

Thanks mate! That was really helpful.

Thanks for the clear lesson.

This is a game changer for my 10yr old :)

Thats a key right there

best math teach i ever seen bro.

love the cool 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.

Amazing video, thanks a lot!

This Is sooooo Gonna help me in GRE preparation

Huge help... who would 'dislike' this!?!?!

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..

This guy needs an award!

wow i've trying to relate it for a long time but with ur help its done so thank u

Wow I tried it now and I got the answer easier than my brother did thanks

I dont know english even then i understood trick because of your teaching so thanks

thank you so much!

Sir salute you, I have my exams on 12th October, please wish me luck🤞🍀

Thank you after watching this video I clear prime factors concept.

thanks man now im a pro 😎you earned a sub 😎😎😎😎😎😎😎😎

Thanks you helped me a lot and I mean it

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

Oml I did not know that trick. That is actually going to help a ton! Thank you!

Very helpful vdo ☺️☺️

Wow. Really helped me with my exam tomorrow 👌 very helpful, thanks!

Nice and clear Good job! 👍

This is incredible

Well done ,keep going.Your video was very helpful .you are best

That is a VERY cool trick.

Thank you!

Very helpful video!!! 😯

thanks for the great trick!!

VERY COOL TRICK SIR! THANKS FOR SHARING THE TRICK. GOD BLESSES YOU ALWAYS FOR HAVING A KIND-HELPFUL-MIND!

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.

Shit u did great man you save my valuable tears

Thanks that was so helpful👍

This trick is so wonderful

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

You saved my day 🙂Thnq....

Wonderful explanation, sir. Is there a name for the 'trick' formula, so I can look up how it's derived?

Easy to learn thank u

Awesome! Helpful for gmat!

Thx so much it helped😊

Trick is very good. It gives different approach

Extreamly.. Hyperbolically.. Thermodynamically.. Helpful.. 😶😋😁

Thank you so much

In my school they call it the factor tree method

Nice and easy method. Thanks

Amazing and realy helpfull so much !

Thanks dude 👍

This helped me a lot thank you!

So helpful! Thank you so much!!

Thank you 😊 bro 👍 it did really help me

amazing educator much thanks

2:02 why should we add the 1, were does it comes from?

now I am going to do good on my test THANKS!!!!!!!!!

Super Cool Trick

Great thank you 🙏

Cool man

It's really helped me very much 😊☺️😊 Now , my doubt is clear about finding factor of any number 🤗🤗

Its the easiest trick of all, I will use this trick to calculate. THANK YOU VERY MUCH.

Thanku so much sir.

cool bro

I don't really get the trick. How did you get 2 times 3 times 2 from those exponents?

super good method

wOw dude you r soo talented!!! Super Helping stuff!

Incredible tips!! Thanks a lot!

Pretty cool that was awsome

Great 👍

Is there a name for the trick? Is there a sound mathematical explanation on why this works? I’m very interested. If someone could tell me that would be great 🙏

Nice one i like it so much Thank You!!!!!!!!!

thanks

Wow!!! Awesome

Thx bro

Good work kid

Thank you