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week 5

 
 
TAmy的头像
week 5
TAmy - 2019年03月31日 Sunday 19:10
 

Find all six digit numbers consisting entirely of 00's and 11's that are divisible by 1212.

 
ReynosoDavid的头像
Re: week 5
ReynosoDavid - 2019年04月1日 Monday 10:38
 

$12 = 2^2 \times 3$, so the numbers you are looking for must be divisible by $2^2 = 4$ and by $3$.

Use the rules for divisibility by $3$ and $4$ to find conditions for the digits of your number(s).