Question

595959 se divide cu 59
abc il divide pe abcabc
11 se divide cu 154
abcabc e divizibil cu 1001

Answer 1

a. 595959/59=10101 ⇒59 divide 595959;
b. abcabc=101101(de exemplu)
abc=101
101101/101=1001⇒abc divide abcabc;
c. 154/11=14⇒11 divide 154;
d. abcabc=123123(de exemplu)
123123/1001=123⇒1001 divide abcabc;

Answer 2

[tex]\it 595959= 59\cdot10101 \in M_{59} \Longrightarrow 595959\ \vdots\ 59[/tex]

$\it \overline{abcabc} =\overline{abc}\cdot1001 \in M_{\overline{abc}} \Longrightarrow \overline{abc}\ | \ \overline{abcabc}$

$\it 154 = 11\cdot 14 \in M_{11}\Longrightarrow 11\ | \ 154$

$\it \overline{abcabc} =\overline{abc}\cdot1001 \in M_{1001} \Longrightarrow \overline{abcabc}\ \vdots\ 1001$