Check whether (15)n can end with digit 0 for any n∈ N.
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Check whether (15)n can end with digit 0 for any n∈ N.
Check whether (15)n can end with digit 0 for any n∈ N.
(15)n can end with the digit 0 only if (15)n is divisible by 2 and 5 But prime factors of (15)n are 3n x 5n
By Fundamental theorem of Arithmetic, there is no natural number n for which (15)n ends with the digit zero.