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First, you need to find a board that supports socket LGA1151:
Second, you must also make certain that the motherboard BIOS supports the i7-6700K.
As far as form-factor, mini-ATX, micro-ATX, or full ATX, that decision, as when as motherboard memory, cooling, power supply, are up to you, and you must consider carefully.
There are a number of good board manufacturers out there. Just explore their offerings.