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