Question

*
The units digit 123^456 is​

Answer 1

Step-by-step explanation:

Given :-

123^456

To find :-

Find the units digit 123^456 ?

Solution :-

Given number = 123^456

The unit digit of 123 = 3

if you want to the unit digit of 123^456

We have to find the unit digit of 3^456

We know that

3^1 = 3

Unit digit = 3

3^2 = 3×3 = 9

Unit digit = 9

3^3 =3×3×3 = 27

Unit digit = 7

3^4 = 3×3×3×3×3=81

Unit digit = 1

3^5 = 243

Unit digit = 3

The unit digit 3,9,7,1 and repeats again

3^456

=> (3^4)^114

456 is completely divisible by 4

So the patterns ends with four multiples

so

The unit place of 3^456

= The unit place of 3^4

=>Unit digit of 3^4 = 1

=> The unit digit of 3^456 is 1

The unit digit of 123^456 = 1

Answer:-

The unit digit of the given number 123^456 is 1