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| 1. |
Show that number of the from 14n , where n is a natural number can never end with digit zero |
| Answer» If the number 14n ,for any n , were to end with zero , then it would be divisible by 5 . that is the prime factorization of 14 and would contain the prime 5 it is not possible because 14 n =[7]2n , show the only prime in the factorization of 14 and S7 so the uniqueness of the fundamental theorem of arithmetic guarantees that | |