SOLUTION: What is the smallest positive multiple of 450 whose digits are all zeroes and ones?

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Question 1189525: What is the smallest positive multiple of 450 whose digits are all zeroes and ones?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
the smallest positive multiple of 450 whose digits are all zeroes and ones?

We know that it must be an even multiple of 450. Otherwise the last two digits will be 50.
first multiple is 900
what is the smallest positive multiple of 900 such that all the digits are 0s or 1s?
apply a rule of multiples of9:
the sum of the digits of a multiple of 9 is a multiple of 9
This rule goes both ways. If the sum of the digits is a multiple of 9, the number is a multiple of 9.
That makes 11111111100 our number.
check: +450%2A24691358=+11111111100