SOLUTION: What is the smallest positive multiple of 450 whose digits are all zeroes and ones?
Algebra.Com
Question 1189525: What is the smallest positive multiple of 450 whose digits are all zeroes and ones?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
the smallest positive multiple of whose digits are all and ?
We know that it must be an multiple of . Otherwise the last two digits will be .
first multiple is
what is the smallest multiple of such that all the digits are s or s?
apply a rule of multiples of:
the sum of the digits of a multiple of is a multiple of
This rule goes both ways. If the sum of the digits is a multiple of , the number is a multiple of .
That makes our number.
check:
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