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Number Theory

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Prime Number Divisors

NUMTH-$JRREU

Let $p$ be a prime.

Which of the following statements are TRUE?

A

Let $d \in \mathbb{Z}$. If $p | 4d$, then $p = d$.

B

Let $c \in \mathbb{Z}$. If $p | 5c$, then $p = c$.

C

Let $a, b \in \mathbb{Z}$. If $p | ab$, then $p | a$ or $p | b$.

D

Let $m \in \mathbb{Z}$. If $p | m + 1$, then $m$ is prime.