Find the least number that should be added to 36,516 so that theresult

1.	Find the least number that should be added to 36,516 so that theresult is exactly divisible by 456.Hint: you have to add (456 - remainder) to 36,516)
Answer» By using division algorithm:**********************************Dividend = divisor × quotient + remainder ******************************************* According to the problem , Dividend = 36516 Divisor = 456 36516 = 456 × 80 + 36 To find the least number which should be added to dividend We use following rule : least number = divisor - remainder least number = 456 - 36 = 420 Therefore Required least number = 420 420 is the least number which should be added to the 36516 so that the new Dividend is exactly divisible by 456. Verification:*************New dividend = 36516 + 420 = 36936 36936 = 456 × 81 + 0 Remainder = 0 36936 is exactly divisible by 456.

Find the least number that should be added to 36,516 so that theresult is exactly divisible by 456.Hint: you have to add (456 - remainder) to 36,516)

Answer»

By using division algorithm:************************************Dividend = divisor × quotient +

remainder

***********************************************

According to the problem ,

Dividend = 36516

Divisor = 456

36516 = 456 × 80 + 36

To find the least number which

should be added to dividend

We use following rule :

least number = divisor - remainder

least number = 456 - 36 = 420

Therefore Required least number =

420

420 is the least number which should

be added to the 36516 so that the

new Dividend is exactly divisible by

456.

Verification:***************New dividend = 36516 + 420 = 36936

36936 = 456 × 81 + 0

Remainder = 0

36936 is exactly divisible by 456.