Find all possible values of x for which the 4-digit number 320x is divisible by 3. Also, find the numbers.

We know that if sum of digits of a number is divisible by 3, then the number is divisible by 3.


Here,


3 + 2 + 0 + x = multiple of 3


5 + x = 0, 3, 6, 9, 12, 15, ….


Hence,


1) 5 + x = 6


x = 1


2) 5 + x = 9


x = 4


3) 5 + x = 12


x = 7


Hence, possible number 3201, 3204 and 3207.


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