check whether 12n ends with the digit 0 for any natural number.
Answers
Answered by
72
it cannot end with zero.
because,
here ,the number is 12^n.where n is called natural number.
Now , if 12^n is to end with zero,it should have 2 and also 5 in its prime factors to end with zero.it needs at least a single multiple of 5 or any number in its prime factors.so 12^n cannot end with zero for any natural number
because,
here ,the number is 12^n.where n is called natural number.
Now , if 12^n is to end with zero,it should have 2 and also 5 in its prime factors to end with zero.it needs at least a single multiple of 5 or any number in its prime factors.so 12^n cannot end with zero for any natural number
punksgang345:
thank u
Answered by
15
Answer:
let us assume that 12n can end with digit 0 it mist be a factor of 5
12n = (4*3)n
FTA
5 is not a factor of 12n
our assumption is wrong
12n cannot end with digit 0
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