35n
why the number 15 where n is a natural
number and cannot end with the digit o?
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Answered by
1
Answer:
If 15
n
is divisible by 10 then it can end with digit zero.
If it is divisible by 10, it has to be divisible by 5 and 2 both.
The prime factorization of 15 is 3×5.
15
n
=(3×5)
n
By observation, (3×5)
n
is divisible by 5 but not by 2.
Hence, 15
n
is not divisible by 10.
Hence, 15
n
does not end with digit 0 for any natural number n.
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