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MATH / The number of toy cars that Ray has is a multiple of 6. When he loses two of them, the number of cars that he has left is a multiple of n. If n is a positive even integer less than…

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problem

The number of toy cars that Ray has is a multiple of 66. When he loses two of them, the number of cars that he has left is a multiple of nn. If nn is a positive even integer less than 1010, then how many possible values are there for nn?
Plain-text mathematical notation (without MathML)
The number of toy cars that Ray has is a multiple of 6. When he loses two of them, the number of cars that he has left is a multiple of n. If n is a positive even integer less than 10, then how many possible values are there for n?
Original LaTeX notation
The number of toy cars that Ray has is a multiple of $6$. When he loses two of them, the number of cars that he has left is a multiple of $n$. If $n$ is a positive even integer less than $10$, then how many possible values are there for $n$?

level

Level 4

type

Number Theory

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Source and history

task_id
c87f9bc5-3417-5e08-b786-5ffa5790767f
task_key
number~5ftheory--test--c87f9bc5-3417-5e08-b786-5ffa5790767f
task_revision_id
1
config / split
number_theory / test

Official source

initial import