Find a whole number between $1$ and $100$ that has the following properties.  When the number is divided by $2$, the remainder is $0$.  When the number is divided by $3$, the remainder is $0$.  When the number is divided by $5$, the remainder is $0$.  When the number is divided by $7$, the remainder is $6$. 
Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules