Question

111............1 (n digits) is divisible by 3 then the least possible value of (n) is
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Answer 1

Answer:

A number is divisible by 3 when the the sum of the digits is divisible by 9. So 111 will be the least number which can be divided by 3 getting no remainder as 1+1+1=3 which is divisible by 3.

Answer 2

Given. 111..........1 (n digits) is divisible by 3

To find. the least possible value of n

Solution.

• When the sum of the digits of a number is divisible by 3, the number will be divisible by 3.

• Given number is 111..........1 (n digits)

• a) when n = 1, number is 1, not divisible by 3.
• b) when n = 2, number is 11, a prime number and thus not divisible by 3.
• c) when n = 3, number is 111 and 1 + 1 + 1 = 3, divisible by 3 and thus 111 is divisible by 3.

Answer. The least possible value of n is 3.