The Exponent of Factor 5 in the Standard Factorization of Positive Fibonacci Number

The relation between the exponent of factor 5 in the standard factorization of positive Fibonacce number Fn and the subscript n is discussed through the defintion of Fibonacci sequence,the elementary number theory and mathematical induction.Then the following conclusion is obtained: the exponent of factor 5 in the standard factorization of positive Fibonacci number Fn is identical with the exponent of factor 5 in the standard factorization of the subscript n.