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  1. elementary number theory - Mathematics Stack Exchange

    6 days ago · This number is indeed divisible by $81$, so it is divisible by $2025$. Of course, I did not write a python code, get the answer, and then make up an argument to go with it - I would absolutely …

  2. Does ⋮ mean "is divisible by" in mathematical notation?

    Nov 14, 2020 · Does ⋮ mean "is divisible by" in mathematical notation? Ask Question Asked 5 years, 1 month ago Modified 2 years, 2 months ago

  3. 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?

  4. How to know a number is divisible by a given number without using a ...

    Oct 24, 2014 · For example, how do we decide intuitively that $11172686$ is divisible (or not) by $7$ or $13$? Moreover, I am interesting in knowing a simple rules or condition that a number is divisible by …

  5. If $a$ is divisible by $b$ is represented as $b\mid a$ then negation?

    Jun 11, 2022 · In what I've seen the most common notation for "does not divide" has a short slash through the vertical line, as in @StephenDonovan's comment, but usually slightly higher up. The big …

  6. Let $x,y,z$ are selected from set of natural numbers. Find the ...

    Apr 14, 2024 · We want three numbers such that sum of squares of these numbers is divisible by $5$ Case $1$: all numbers are of $5k$ types so in this case there are $8$ possible numbers.

  7. 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.

  8. 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, Let's …

  9. How to prove the divisibility rule for $3\, $ [casting out threes]

    Mar 26, 2013 · The induction methods is nice because it provides an insight into why this divisibility rule works. However, AFAICS, it only shows that the digit-sum being divisible by 3 is a necessary …

  10. 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 the sum is …