Question

N and M are positive integers having same digits but in different order, N + M = 10^10, then prove that N is divisible by 10.

score 245 · Answer 1 · 2018-11-10 15:31:06

245

Views

N and M are positive integers having same digits but in different order, N + M = 10^10, then prove that N is divisible by 10.

Published on 10 Nov 2018 - 15:31

score 54 · Answer 2 · 2026-03-25 17:24:50

54

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Factors of Square Numbers

Published on 25 Mar 2026 - 17:24

score 20 · Answer 3 · 2018-11-11 01:03:18

20

Views

Currency Conversion - Getting an equivalent % of currency outside of z/y pair

Published on 11 Nov 2018 - 1:03

score 59 · Answer 4 · 2018-11-11 09:02:11

59

Views

Prove that number $1^{2005}+2^{2005}+\cdots+n^{2005}$ is not divisible by number $n+2$

Published on 11 Nov 2018 - 9:02

score 102 · Answer 5 · 2018-11-11 10:27:23

102

Views

Find the smallest number such that when you divide with $4,6,8,10,12$ the remainder is $2,4,6,8,10$

Published on 11 Nov 2018 - 10:27

score 75 · Answer 6 · 2018-11-11 16:37:18

75

Views

question on 'divides'

Published on 11 Nov 2018 - 16:37

score 77 · Answer 7 · 2018-11-11 18:23:41

77

Views

For which $k$ can $(x-1)^{k} - (x+1)^{k}$ be divided by $x$?

Published on 11 Nov 2018 - 18:23

score 74 · Answer 8 · 2018-11-12 05:20:35

74

Views

Determine the remainder

Published on 12 Nov 2018 - 5:20

score 91 · Answer 9 · 2018-11-12 13:40:22

91

Views

contradiction proof on divides

Published on 12 Nov 2018 - 13:40

score 62 · Answer 10 · 2018-11-13 04:51:06

62

Views

Prove that it does not exist two number such that $m^2+n^2=6 \underbrace {0 \cdots 0}$

Published on 13 Nov 2018 - 4:51

score 84 · Answer 11 · 2018-11-13 22:22:12

84

Views

$a\mid b^2, b\mid c^2, c\mid a^2\Longrightarrow abc\mid (a+b+c)^k$

Published on 13 Nov 2018 - 22:22

score 84 · Answer 12 · 2026-02-23 07:01:03

84

Views

Prove $\frac{ab}{m} = \gcd(a,b)$ when $m=\operatorname{lcm}(a,b)$, for all natural numbers $a$ and $b$.

Published on 23 Feb 2026 - 7:01

score 102 · Answer 13 · 2018-11-15 18:23:33

102

Views

find a number $aabb$ such that is full square

Published on 15 Nov 2018 - 18:23

score 51 · Answer 14 · 2018-11-15 18:46:19

51

Views

Divison by Zero

Published on 15 Nov 2018 - 18:46

score 65 · Answer 15 · 2018-11-16 03:56:03

65

Views

Find conditions on $a, b, c$, and $d$ with $a\ne -1, 0, 1$ such that $d\mid(a^n+bn+c)$ for $n \ge 1$.

Published on 16 Nov 2018 - 3:56

List Question

N and M are positive integers having same digits but in different order, N + M = 10^10, then prove that N is divisible by 10.

Factors of Square Numbers

Currency Conversion - Getting an equivalent % of currency outside of z/y pair

Prove that number $1^{2005}+2^{2005}+\cdots+n^{2005}$ is not divisible by number $n+2$

Find the smallest number such that when you divide with $4,6,8,10,12$ the remainder is $2,4,6,8,10$

question on 'divides'

For which $k$ can $(x-1)^{k} - (x+1)^{k}$ be divided by $x$?

Determine the remainder

contradiction proof on divides

Prove that it does not exist two number such that $m^2+n^2=6 \underbrace {0 \cdots 0}$

$a\mid b^2, b\mid c^2, c\mid a^2\Longrightarrow abc\mid (a+b+c)^k$

Prove $\frac{ab}{m} = \gcd(a,b)$ when $m=\operatorname{lcm}(a,b)$, for all natural numbers $a$ and $b$.

find a number $aabb$ such that is full square

Divison by Zero

Find conditions on $a, b, c$, and $d$ with $a\ne -1, 0, 1$ such that $d\mid(a^n+bn+c)$ for $n \ge 1$.

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