Cloud computing is a matured platform to host the information and communication technology (ICT) infrastructure and services. All the top leading companies have made investments in cloud infrastructure including US Department of Defence's contract of USD 10 Billion to Microsoft for cloud migration. Cloud computing helps in conserving the resources and improving the performance of ICT services, hence making the computing more sustainable. Migration to cloud needs careful planning, strong business case, credible migration strategy and robust migration frameworks. This research has reviewed the area of cloud computing migration to identify important factors. The author keywords of 299 research articles downloaded from the web of science database have been analyzed using co-word analysis and resulted in 10 most significant factors in the form of cloud migration tuple. This study applies the interpretive structural modeling (ISM) technique to study the interrelationship on these factors. Application of ISM followed by Matriced' Impacts Croise's Multiplication Appliquée a UN Classement (MICMAC) analysis has categorized these factors into independent and dependent sets. The resultant model demonstrates that organizations need to incorporate the dimensions of service orientation, virtualization, multi utilization, dynamic allocation and mobile support into their data, application and security stacks. Migration of these stacks with sound strategy, policy and frameworks will lead to post-migration performance improvements in a synergistic fashion. The adoption of cloud migration tuple with understanding of interrelationships will help organizations make strategies and plan to migrate to cloud in an efficient manner.