The remainder when 3^ 2022 is divided by 5 is - Vidyadip

MCQ

The remainder when $3^{2022}$ is divided by $5$ is

A
$1$
B
$2$
C
$3$
✓
$4$

✓

Answer

Correct option: D.

$4$

d
$3^{2022}=9^{1011}=(10-1)^{1011}=10 m -1=10 m -5+4$

$=5(2 m-1)+4( m \text { is integer })$

Remainder $=4$

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