asked 91.6k views
1 vote
What is the smallest 3-digit number of the form aaa such that it is divisible by 9?

2 Answers

4 votes

Explanation:


{ \rm{ \large{ \underline{ \green{333}}}}}

answered
User Nikolay K
by
8.2k points
3 votes

Answer:

333

Explanation:

It is a well known trick that if you add together the digits of a number and they are a multiple of 9, then the number will be divisible by 9. You can therefore start going through the 3 digit numbers as described and testing them.

111=1+1+1=3 or not a multiple of 9

222=2+2+2=6 or not a multiple of 9

333=3+3+3=9 A multiple of 9! This is the correct answer.

Hope this helps!

answered
User Jerzy Kiler
by
7.1k points

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