Can the number 6n , n being a natural number, end with the digit 5? Give reasons
Answers
Answered by
201
All multiples of 6 end with 0,6,2,4,8
But it does not end with 5
So, 6n cannot end with 5
But it does not end with 5
So, 6n cannot end with 5
Answered by
232
I think you're asking for 6^n.
No, 6^n cannot end with five.
For - "A ^ n" ( where A is any integer ), to end with 5 ( or have 5 in unit place ).
"A" must be in the form of 2 ^ m X 5 ^ n .
However, here 6 = 2 X 3
ie. 6 cannot be written in the form of 2^m X 5^n.
So, 6 ^n cannot end with five.
And for, 6n.
This too can't end with five, as all multiples of 6 end only with 0, 2,4, 6,8.
No, 6^n cannot end with five.
For - "A ^ n" ( where A is any integer ), to end with 5 ( or have 5 in unit place ).
"A" must be in the form of 2 ^ m X 5 ^ n .
However, here 6 = 2 X 3
ie. 6 cannot be written in the form of 2^m X 5^n.
So, 6 ^n cannot end with five.
And for, 6n.
This too can't end with five, as all multiples of 6 end only with 0, 2,4, 6,8.
Similar questions