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How many positive multiples of 3 less than 1000 use only the digits 2 and/or 4?

 Jan 21, 2022
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We can list them since we know that a multiple of 3 has to have a digit sum that is divisible by 3:

 

24

42

222

444

 

That's it... So we have 4 positive multiples of 3 less than 1000 using only the digits 2 and/or 4.

 

 

prsmiley

 Jan 23, 2022

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