List questions from divisibility

Published on 29 Apr 2026 - 12:50

1.1k

Views

General form of an integer

Published on 10 May 2026 - 11:10

74

Views

Show that $Q=X^2+5X+7$ divides $P=(X+2)^m+(X+3)^{2m+3}$ for any $m\in\Bbb N$

Published on 29 Apr 2026 - 12:50

71

Views

If $a,b,n \in \mathbb{Z}$, & $n \mid (a+b)$, prove $n$ does not necessarily divide $ (a^2+b^2)$

Published on 10 May 2026 - 10:08

101

Views

divisors of natural numbers

Published on 29 Apr 2026 - 12:50

1.3k

Views

Show that $2n\choose n$ is divisible by $2n-1$

Published on 24 Mar 2026 - 22:09

61

Views

How many positive integers $n$ satisfy $n+S(n)=2008$?

Published on 29 Apr 2026 - 12:50

1.1k

Views

how to find the integer values?

Published on 10 May 2026 - 11:18

385

Views

What is the role of the derivative in the divisibility of polynomials?

Published on 29 Apr 2026 - 12:50

105

Views

How do I find the quotient of the division of $x^{1993}+x^2+1$ by $x^2+x+1$?

Published on 03 May 2026 - 9:00

1.5k

Views

Factor of a Mersenne number

Published on 29 Apr 2026 - 12:50

50

Views

Modular congruence, divisibility

Published on 29 Apr 2026 - 12:50

236

Views

Find all the digits $a,b$ in such a way that $n=62ab427$ is multiple of $99$

Published on 29 Apr 2026 - 12:50

609

Views

Suppose $\gcd(a,b)=1$ and $c|ab$. Prove there exist integers $r$ and $s$ such that $c=rs, r|a, s|b$, and $\gcd(r,s)=1$

Published on 24 Mar 2026 - 22:07

52

Views

Does the function have a factor as a power of 2?

Published on 29 Apr 2026 - 12:50

List Question

Why does the division algo imply any integer is of the form 3k, 3k+1, 3k+2?

General form of an integer

Show that $Q=X^2+5X+7$ divides $P=(X+2)^m+(X+3)^{2m+3}$ for any $m\in\Bbb N$

If $a,b,n \in \mathbb{Z}$, & $n \mid (a+b)$, prove $n$ does not necessarily divide $ (a^2+b^2)$

divisors of natural numbers

Show that $2n\choose n$ is divisible by $2n-1$

How many positive integers $n$ satisfy $n+S(n)=2008$?

how to find the integer values?

What is the role of the derivative in the divisibility of polynomials?

How do I find the quotient of the division of $x^{1993}+x^2+1$ by $x^2+x+1$?

Factor of a Mersenne number

Modular congruence, divisibility

Find all the digits $a,b$ in such a way that $n=62ab427$ is multiple of $99$

Suppose $\gcd(a,b)=1$ and $c|ab$. Prove there exist integers $r$ and $s$ such that $c=rs, r|a, s|b$, and $\gcd(r,s)=1$

Does the function have a factor as a power of 2?

Trending Questions

Popular # Hahtags

Popular Questions