
elementary number theory - What is meant by "evenly divisible ...
Aug 20, 2011 · "What is the smallest positive number that is evenly divisible by all of the numbers from 1 to 20?" Is it different from divisible?
divisibility - For numbers divisible by three, why is the sum of their ...
That sum 33 is divisible by three and so is the original number 289752. This is not the case when dividing by 2, for example 12 is divisible by two but when its digits are summed (1+2=3) you …
Does ⋮ mean "is divisible by" in mathematical notation?
Nov 14, 2020 · Does ⋮ mean "is divisible by" in mathematical notation? Ask Question Asked 5 years ago Modified 2 years, 1 month ago
Divisibility by 7 - Mathematics Stack Exchange
The best way to test if a number is divisible by any other number is by deducting the number n times and check whether the remainder is divisible by n. for example 861-7n/7.
abstract algebra - Prove that no finite abelian group is divisible ...
A quotient of a divisible group is divisible (the proof is very simple). A finitely generated abelian group is a direct sum of cyclic groups (main theorem on finitely generated abelian groups).
Divisibility of 9 trick: why does it work? [duplicate]
Jan 19, 2020 · I've been wondering ever since I learned about the divisibility of nine trick. Add up the sum of the digits. If the sum is a multiple of nine, the entire number is divisible by nine. If …
Proof of the divisibility rule of 11. - Mathematics Stack Exchange
Sep 27, 2021 · We know, A number is divisible by $11$ if the difference of the sum of the digits in the odd places and the sum of the digits in the even places is divisible by $11$. For example, …
Is $b\mid a$ standard notation for $b$ divides $a$? [duplicate]
This is the standard way, in the specific meaning of compliance to international standards: ISO 80000-2, clause 2.7-17. Note that the vertical bar character used there is normatively identified …
elementary number theory - Divisibility Tests for Palindromes ...
I've found and proven the following extensions to palindromes of the usual divisibility rules for 3 and 9: A palindrome is divisible by 27 if and only if its digit sum is. A palindrome is divisible by …
How to get the smallest $n$ that $n^n$ is divisible by $m$.
Sep 1, 2023 · If m is a prime, then n should be 'm' itself. And I have thought about the prime factorization of m, made a code based on that. I think that's the only way to calc n, but I want …