MathematicsIdentify the least 6-digit number exactly divisible by 83.

Identify the least 6-digit number exactly divisible by 83.


  1. A
    100000
  2. B
    100006
  3. C
    100015
  4. D
    100020 

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    Solution:

    The given data is the number 83.
    We are required to find the least 6-digit number exactly divisible by 83.
    We know that the least 6-digit number =100000
    We shall first divide 10000 by 83 in the following way and note the remainder.
    83 1204 100000 83 ¯ 170 166 ¯ 400 332 ¯ 68  
    Thus, the remainder from the above division is 68.
    So, we shall subtract this remainder from the divisor and then add to the original number to get the following.
    ⇒100000+(83-68)
    ⇒100000+15
    ⇒100015
    Clearly, this new number will leave no remainder as 100000÷83=1205  .
    So, the required least 6-digit number exactly divisible by 83 is 100015.
    Therefore, the required correct option is 3.
     
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