Let n be a positive integer not divisible by 2, 3, or 5, and suppose that the decimal expansion of 1/n has period k. The
Posted: Sun Jul 10, 2022 11:13 am
Let n be a positive integer not divisible by 2, 3, or 5, andsuppose that the decimal expansion of 1/n has period k. Then n is afactor of the integer 111 ... 11 (k 1 's). Furthermore, the sum ofthe partial remainders in the indicated long division of everyreduced proper fraction x/n is a multiple of n.