Q1 of 2 Page 43

Find the least 6-digit no. exactly divisible by 83.

First consider 100000 (least 6-digit number)

Divide 100000 by 83, we have


The quotient is 1204 and the remainder is 68


From this, we can say that if we add the difference of 83 and 68 to 100000 we will get the required number


Now subtract 68 from 83, 83-68 = 15


Add the difference that is 15, to 100000 to get the least 6-digit number exactly divisible by 83.


100000 + 15 = 100015


So, 100015 is the least 6-digit number exactly divisible by 83.


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