# How do you find the remainder of 3^983 divided by 5?

##### 2 Answers

A remainder of

#### Explanation:

You are obviously not going to work out the actual value of

Let's look at the pattern of the powers of

If you look at the last digit you will see a pattern that repeats over four numbers..

So to find out what the last digit of

This means it is the third number in the pattern of

Therefore when you divide that number by

#### Explanation:

powers of

their last digits have a pattern:

it repeats for every fourth power.

e.g. powers of

this means that the last digit of

all multiples of

any integer ending in a

since