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Abstract Algebra

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Rings: Characteristic of the Ring $Z/64Z$

ABSALG-EO3JWU

The characteristic of a ring $R$ is the fewest number of times $1$ must be added to itself to obtain $0$.

What is the characteristic of $\mathbb{Z}/64\mathbb{Z}$?

A

$0$

B

$1$

C

$2$

D

$32$

E

$64$