The integer splitting method is a special method that is used to encrypt the text. In this method, each text character is represented as an integer in accordance with the selected code table after that this integer is replaced on the base of another number with a sequence of k integers (k-splitting level) and this is performed by the usage of modular arithmetic. This article studies the property of asymptotic secrecy of the simple integer splitting method when it is used in the field of cryptography; the research is conducted from the point view of the hacker. The purpose of using integer splitting method is to increase the level of security and provide the ability to control the degree of protection of information. So a lemma was proven in this article and as a conclusion we can notice that the more usage of the splitting level leads to the more level of safety and protection of information. © Published under licence by IOP Publishing Ltd.