Multiple choice general knowledge math & puzzles

On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is:

  1. 47619

  2. 47719

  3. 48619

  4. None

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

We need a number consisting only of 3s that is divisible by 7. Testing 333, 3333, 33333, and 333333, we find $333333 / 7 = 47619$. This is the smallest such integer. Other options like 47719 or 48619 do not result in a product of all 3s when multiplied by 7.