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Number Theory

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Divisibility: Which Statements Apply?

NUMTH-5XG41V

We write $a|b$ if an integer $a$ divides $b$, i. e. if $b=ak$ for some integer $k$.

Which of the following statements are true?

Check ALL that apply.

A

$0|a$ for any integer $a$.

B

$a|0$ for any integer $a$.

C

$1|a$ for any integer $a$.

D

For any integer $n\geq 1$, there is a prime number $p$ such that $p|n$.

E

For any integer $n$, $n|n+2016$.