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| 1. |
Check whether 15n end with the digit 0 for any natural number n |
| Answer» Any number can end with 0 only if this is divisible by 10 hence it is divisible by 2 and 5 bothBut prime factors of (15)n are 3n{tex}\\times{/tex}\xa05n\xa0It is clear that 15n is not divisible with 2Hence by the Fundamental Theorem of Arithmetic, there is no natural number n for which (15)n ends with the digit zero. | |