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(#M40021527) SELF question Keep an EYE

Find the units digit of 2483^(122!).

vikash singh (11 years ago)

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Rahul Kumar Mehta  (11 years ago)

The unit digit of 2483^(122!) is 9

Reason - 3 ------> 3 itself unit term

3^2 ----> 9 itself unit term

3^3 -----> 7 is the unit term

3^4 ------> 1 is the unit term

now if you will multiply further then repetition will start as 3,9,7,1 .....3,9,7,1 ....3,9,7,1 ...

Now if we will divide 122/4 then in this 120 is completly divided by 4 but +2 is still there.

Therefore 9 is the answer (3 , 9 , 7 ,1)

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ANAMIKA CHOWDHARY  (11 years ago)

3*3=9
9*9=81..so unit digit is 1
power of 1^122!=1
so unit digit will be 1

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