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15
Math.TechQA.Club
2026-03-30 14:25:04
309
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if $\gcd(a,b)=1$ and $c^2$ divides $ab$, prove that $c^2$ divides $a$ or $b$.
Published on
30 Mar 2026 - 14:25
#elementary-number-theory
#divisibility
#gcd-and-lcm
1.1k
Views
For any prime number $p$ and natural number $i < p$, prove that $p$ divides ${p \choose i}$.
Published on
30 Mar 2026 - 3:39
#elementary-number-theory
#prime-numbers
#binomial-coefficients
#divisibility
#prime-factorization
2.8k
Views
Divisibility rules in the binary system
Published on
27 Mar 2026 - 17:50
#divisibility
#self-learning
#congruences
217
Views
KS2 long division problem
Published on
28 Nov 2016 - 21:51
#divisibility
406
Views
Large factorial number divisibility
Published on
31 Mar 2026 - 20:11
#divisibility
#factorial
39
Views
How to prove that $ab | \lceil \frac{n}{4} \rceil +c$?
Published on
30 Nov 2016 - 9:43
#divisibility
543
Views
How many multiples of 3 are in $100!$
Published on
31 Mar 2026 - 21:54
#combinatorics
#elementary-number-theory
#divisibility
#factorial
197
Views
$\gcd(m,n)$ divides $\binom{m}{n} ?$
Published on
01 Dec 2016 - 2:01
#binomial-coefficients
#divisibility
59
Views
If $7|(100a+b)$ prove $7|(2a+b)$
Published on
01 Dec 2016 - 16:49
#elementary-number-theory
#divisibility
883
Views
Determine whether $11^{10} - 1$ is divisible by $1100$
Published on
27 Mar 2026 - 19:31
#elementary-number-theory
#divisibility
#congruences
838
Views
Remainder when $2^{108}$ is divided by $11$?
Published on
23 Feb 2026 - 2:38
#number-theory
#modular-arithmetic
#divisibility
#binomial-theorem
#divisible-groups
850
Views
if $a,b$ are both integers and coprime, prove that the $\gcd(a^2 b^3,a+b) =1$
Published on
05 Dec 2016 - 13:56
#elementary-number-theory
#prime-numbers
#divisibility
654
Views
Prove that $\sqrt{5n+2}$ is irrational
Published on
26 Mar 2026 - 1:09
#number-theory
#elementary-number-theory
#divisibility
#rationality-testing
299
Views
Why is $a \equiv (a$mod$m)$mod$m$
Published on
06 Dec 2016 - 3:37
#discrete-mathematics
#modular-arithmetic
#divisibility
103
Views
How do you calculate $a$ mod $b$ when $a < b$
Published on
06 Dec 2016 - 4:12
#algebra-precalculus
#modular-arithmetic
#divisibility
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