Answer :
The least positive integer, written only by numbers 0, 1, and 2, which is divisible by 225 is 1,222,200.
A number (A) is divisible by another number (K) when the division of A by K, leaves a remainder of 0.
In the question, we are asked to find the least positive integer, written only by numbers 0, 1, and 2, which is divisible by 225.
Now, we need to know that the multiples of 225 end with 00, 25, 50, and 75.
So, to have a multiple with digits 0, 1, and 2, we need the last digits to be 00.
The smallest multiple of 225, ending with 00 is 225*4 = 900.
So, we need to have the least multiple of 900, with digits 0, 1, and 2.
We know that a multiple of 9, has a sum of its digit as 9.
The smallest multiple of 9, with digits 1, and 2, will be 12222.
Adding the last 00 to this, we get the least multiple as 1,222,200.
Thus, the least positive integer, written only by numbers 0, 1, and 2, which is divisible by 225 is 1,222,200.
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