When a certain number is multiplied by 7 the product entirely comprises ones only 1111 What is the s...........

Math and Mental Ability Number System

When a certain number is multiplied by 7, the product entirely comprises ones only (1111...). What is the smallest such number?

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Complete-Test, Previous year (2021)

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15713

15723

15783

15873

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Explanation:

As the number comprising of all 1’s is obtained on multiplication by 7, so it means that 7 is the factor
of that number.
Our answer will the smallest number comprising of all 1’s that will be divisible by 7. So, let’s check.
Is 1 divisible by 7? – No
Is 11 divisible by 7? – No
Is 111 divisible by 7? – No
Is 1111 divisible by 7? – No
Is 11111 divisible by 7? – No
Is 111111 divisible by 7? – Yes
So, 111111/7 = 15,873