in the future - u will be able to do some more stuff here,,,!! like pat catgirl- i mean um yeah... for now u can only see others's posts :c
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Decrypt this message ๐...๐
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Dear Enthusiast, I bring for you an interesting method of finding divisors of any numbers.
Say , for n= 99 ,this can be written as n=3ร3ร11 by Fundamental Theorem of Arithmetic.
Now, let's say the number of divisors are expressed by d(n), then d(n)= d(p1รp2ร......รpk)
= (1+1)ร(1+1)ร(1+1).....(1+1) (k times)
This is only for the case if exponent = 1. If exponent>1 then, d(n) = d(p1^k + p2^s+....) =( k+1)ร(s+1)...
Here in my example,d(99)= d(3^2 ร11) = (2+1)ร (1+1)=6.
Therefore, the number of divisors of 99 is 6 i.e 1, 3, 9, 11, 33 and 99.
If you like such type of discussion in this community then LIKE , SHARE and SUBSCRIBE . And also comment your view. ๐
Bye bye and Good night.
โช@measthmatic_mathematics.โฌ
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Hey Guys , How was the day ? Today I share you something really crazy maths theorem that's given by Leonard Euler. It's something like this,
If n>= 1 and gcd (a,n)= 1, then a^phi(n) congruent to 1 (mod n). Phi(n) means the number of relatively prime numbers to n.
This is the generalized form of Fermats theorem where Fermats gave this same theorem for prime numbers.
But the main question is where we could use this all theorem. This has really crazy applications, I mean to say ,you see below I post a screenshot of a calculation that made in a digital calculator, but the same stuff could be done by using this theorem that means we can find the last digit of any large powers (a^n), where gcd(a,n) should be 1. By normal calculation we may not be able to find such things in few steps in maths without using the above theorem or if to say without our greatest mathematicians such work. We should always owe to them... ๐
Have a good day and Good night..... โค๏ธ
And yeah stay tuned although I am not able to upload video regularly.
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Hey guys, Welcome to my maths channel๐๐
Here I do upload motivational mathematic's video and shorts, mathematician's qoutes and their biographical shorts and tutorial videoes on maths.
Here you also get many problem solution tutorial videoes related to calculus, Algebra, Trigonometry, differential equation, geometry and complex number system.
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