Question

What is the least number must be added to 859622 to get a number exactly duvisible by 456?

Answer 1

=> Divide 859622 by 456. We get quotient 1885 and remainder 62. From here, we get that if 62 is subtracted from 859622, which means if -62 is added to 859622, we get a multiple of 456.

=> Either subtract 859622 from 1886 × 456 = 860016, or subtract 62 from 456. We get 394. This means that we get a multiple of 456 on adding 394 to 859622.

=> It's -62 < 394. So we can truly say that -62 is the answer.

['Only positive integer' is NOT mentioned in the question compulsorily.]