SOLUTION: 1)what is the least number that can be added to 23,501 to make it divisible by 11? 2)what is the least number that can be substracted from 13636 to make it divisible by 11

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: 1)what is the least number that can be added to 23,501 to make it divisible by 11? 2)what is the least number that can be substracted from 13636 to make it divisible by 11       Log On


   

Question 1151841: 1)what is the least number that can be added to 23,501 to make it divisible by 11?
2)what is the least number that can be substracted from 13636 to make it divisible by 11
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!


1)  23501 = 5 (mod 11)  therefore you can add 6 to make it divisible by 11.

Check: 23507 / 11 = 2137 



2)  13636 = 7 (mod 11)  



Give it some thought.  Remember, you're subtracting for this problem.   

As a hint: 7 is the remainder, what remainder do you need if 11 is to exactly divide the new number?