Show that a number of the form 14powern , where n is a rational number can never end with digit 0
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if the number 14n ,for any n , were to end with the digit zero, then it would be divisible by 5.
the uniqueness of the fundamental theorem of arithmetic guarantees that there are no other prime factors other than 2 and 7 on factorising 14.
so, there is no natural number n for which 14nends with the digit zero
the uniqueness of the fundamental theorem of arithmetic guarantees that there are no other prime factors other than 2 and 7 on factorising 14.
so, there is no natural number n for which 14nends with the digit zero
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