中文摘要：

研究了Fibonacci数Fn的标准分解式中素因数11的指数与下标n的关系,证明了Fibonacci数Fn的标准分解式中素因数11的指数可由下标n的分解式中因数10的指数与11的指数来确定.

英文摘要：

In this paper, we study the relationship between the exponent of factor 11 in the standard factorization of Fibonacci number Fn and its subscript n , and we show that the exponent of factor 11 in the standard factorization of Fibonacci number Fn can be found out by the exponent of 10 and 11 in the factorization of the subscript n.