Question

5. Find the least number that should be added to 36,516 so that the
result is exactly divisible by 456.
[Hint: you have to add (456 - remainder) to 36,516]
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Answer 1

Answer:

The Answer Is 36936

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Step-by-step explanation:

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.

Answer 2

Answer: The answer is 36936.