The cloud deployment model that features organizational ownership of the hardware and infrastructure, and usage only by members of that organization, is known as:

A private cloud is exclusively operated for a single organization, which can either own, manage, and operate it on-premises, or have it managed by a third party off-premises. The key characteristic is the exclusive use by one organization, often with ownership or dedicated control over the underlying infrastructure.

A public cloud is provisioned for open use by the general public, where the cloud infrastructure is owned by a cloud provider and shared among multiple tenants.

A hybrid cloud is a composition of two or more distinct cloud infrastructures (private, community, or public) that remain unique entities but are bound together by standardized technology.

'Motive' is not a recognized cloud deployment model.