The Truth About EVERY Number With an ODD Number of Factors... #shorts

#shorts #short #math #mathematics #number #numbers #pattern #square #squares #squarenumbers #odd #even #oddnumbers #factor #factors

Combo Class, taught by Domotro, is a crazy educational show where you can have fun learning rare things about math, science, language, and more! This is the channel for Combo Class SHORTS and EXTRAS - make sure you're also subscribed to the main Combo Class channel where full episodes go!

DISCLAIMER: any use of fire, tools, or other science experiments in this series is always done in a safe and professional way. Do not try to copy any actions you see in this series yourself.

[ryanlangman]

That’s only because factors come in pairs, so the only time you will have an odd number of factors is if 2 of them are the same, which means it has to be a perfect square.

[ddebenedictis]

As a square, I can confirm I love odd numbers

[CubingGod]

I actually posed the difference between the answer of squares and how there’s a formula to determine the next squares based on the first squares of exponent form, and obviously deeper equation for different distances, and at the time, someone helped me make a conjecture, left for college at 16, him and our math teacher the time, said it’s not a thing as far as they know so far, and then I had an epiphany, the rest is today.

[janemeier]

Its always squared.
When you devide by a number, you have a solution.
a/b=c
B and c are factors. So it has to be
a/b=b
B is only 1, so its an odd number of factors. That only happens with numbers, that are the square of another number...

[SerunaXI]

The squares being consecutive added odd numbers is not something I expected to hear out in the wild.

[manansharma]

Number of factors of a number N = 2^a 3^b 5^c 7^d ...
= (a+1)(b+1)(c+1)(d+1) ... = odd.
So (a+1), (b+1), (c+1), (d+1), ... must be odd.
So a, b, c, d, ... must be even
Let a=2k1, b=2k2, c=2k3, d=2k4, ... (k is a whole number)
N = (2^k1 3^k2 5^k3 7^k4)^2
So N is a perfect square

[Jim-vrlx]

I always called prime factors 'factors '. And what you're working with 'divisors'. Am i wrong?

[iainfulton]

You're missing a 1 in front of your 16.

[bluematter]

i aready knew this, because of programming,
you can utilise that fact to make an algorithm to find out wether a number is a perfect square or not

[TommyLikeTom]

I figured this out pretty much as soon as I learnt what a factor was

[Domotro]

Check out my full episodes on my main channel here: www.youtube.com/comboclass

[scmtuk]

This is pretty obvious when you think about it.
Every number will have factors that come in pairs.... and then every square number will have a single factor that is the square root.

[DummyThiccccc]

This blew my mind for a bit until I realized that it's so obvious why

[scmtuk]

A couple of comments here make me think that people don't understand the difference between "factors" aka "divisors", and "prime factorization".

[VJMusic]

x(x - 1) = y(y + 1)

Prove that y + 1 = x

Can u please solve this one

[TopRob]

It makes sense 1, x, and the square root

[agenti]

Me watching ted ed riddles: ah yes, squares

[daksheshgupta]

this is what i was searching for in videos and didnt get in anywhere ....who thought i will find out scrolling shorts

[TravelKing]

How can one only have one factor? It can’t.

[vedantkoli]

Hey jack harlow, when are you dropping your next song?