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MATH / T is the smallest positive multiple of 14 whose digits are all 1s and 0s. What is the quotient when T is divided by 14?

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problem

TT is the smallest positive multiple of 14 whose digits are all 1s and 0s. What is the quotient when TT is divided by 14?
Plain-text mathematical notation (without MathML)
T is the smallest positive multiple of 14 whose digits are all 1s and 0s.  What is the quotient when T is divided by 14?
Original LaTeX notation
$T$ is the smallest positive multiple of 14 whose digits are all 1s and 0s.  What is the quotient when $T$ is divided by 14?

level

Level 5

type

Number Theory

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Source and history

Official source

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