Find the unit digit ... shortcut

what is unit digit of  36245  ?

here the number is 36

unit digit of 36 is 6 

RULE: a number whose unit digit is 6, if it is raised to any power, the answer will have unit digit as 6

Example:

unit digit of 5656543  is 6

Now lets learn the shortcuts regarding this

• A number whose unit digit is 0,1,5,6 ,    if it is raised to any power, the answer will have unit digit as 0,1,5,6 respectively

example:
 unit digit of 656543  is 6
unit digit of 4535  is 5
unit digit of 0543  is 0
unit digit of 1443  is 

• A number whose unit digit is 2,3,7,8,  if it is raised to any power, 

1. divide the power by 4 and find the remainder


2. now raise the unit digit of the original number to the power of remainder, it gives you the answer   i.e. (unit digit of original no)remainder

Example

• A number whose unit digit is 4 

if it is raised to any odd power,unit digit is 4

if it is raised to any even power , unit digit is 6 

unit digit of 654543  is  4  (because power is 543, which is odd)

unit digit of 654532  is  6  (because power is 532, which is even)

• A number whose unit digit is 9 

if it is raised to any odd power, unit digit is 9

if it is raised to any even power , unit digit is 1

 unit digit of 659543  is  9  (because power is 543, which is odd)

unit digit of 659532  is  1  (because power is 532, which is even)

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