Multiples of 3

Number Theory Level 1

How many of the following numbers are multiples of 3:

1 , 12 , 123 , 1234 , 12345 , 123456 , 1234567 , 12345678 , 123456789 , 1234567890 \begin{array} {l} 1, 12, 123, 1234, 12345, 123456, 1234567, \\ 12345678, 123456789, 1234567890 \\ \end{array}


The answer is 7.

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Arron Kau by Arron Kau

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2 solutions

Bayu Dharmala
Sep 2, 2013

The simple solution is simple just decided all number with 3

6 Helpful 0 Interesting 0 Brilliant 0 Confused
Farooq Mukhtar
Sep 3, 2013

sum of all digits of number must be multiple of 3

4 Helpful 0 Interesting 0 Brilliant 0 Confused

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