Kareem must choose a number between 61 and 107 that is a multiple of 3 , 6 , and 9 . Write all the numbers that he could choose. If there is more than one number, separate them with commas.

Question

Kareem must choose a number between  61  and  107  that is a multiple of  3  ,  6  , and  9  . Write all the numbers that he could choose. If there is more than one number, separate them with commas.

campbell_st · Answer

well to start the number must be even... as 6 must be a factor... 

the digits must add to a multiple of 3 and 9

e.g.    63     digits add to 9   so 9 is a factor and 3 x 3 = 9 so 3 is a factor
                    but its not even... so 6 isn't a factor. 

  so the lowest common multiple is 18... 

   so start with 18 and then go up by 18s until you have covered the range of your answers