Now while the Pharisees were gathered together, Jesus asked them a question,  saying, "What do you think about the Christ? Whose son is he?" They said to him, "The son of David."  He said to them, "How is it then that David, in the Spirit, calls him Lord, saying,
 " 'The Lord said to my Lord,
Sit at my right hand,
until I put your enemies under your feet'?
 If then David calls him Lord, how is he his son?"  And no one was able to answer him a word, nor from that day did anyone dare to ask him any more questions. Matthew 22:41-46 (ESV)
Jesus is rather quite conscious of who he is. People like to be ignorant of Jesus Christ. Well that is my theory. They latch on to many different clichés, conspiracy theories, and naïve regurgitations of 19th century liberal theologies, of which none hold in light of what the gospels say. Here we see Jesus, riddling the Pharisees as only he can. Here he claims divinity, even as he is a man. The son of God, the Son of David. “The Lord says to My Lord.” The Bible is replete with God talking to God. It is also replete with Jesus making claims to divinity.
Jesus knows he is the Christ. He has blessed Peter for calling himself as such. So when he makes the claim that the Christ is Lord, is God, then he is making the claim to be God. Jesus is God. His divinity necessarily precedes his humanity. This is a point that was lost on Arianism, and it’s modern counterpart, Mormonism. If you aren’t God, you aren’t God and never will be. It is inherent in the idea of God that he is eternal, without beginning and without end. Even the Pagan philosopher Aristotle, was able to determine this much as he articulated the cosmological argument for God. If you have a beginning, you are not God. It is not so much the end that matters. Immortality is possible even if you are created, that is in fact the point of Christianity, putting death to death. But immortality, though essential to divinity, is not the same as divinity. It is the idea of beginning. God has no beginning, he is eternal. If Jesus is God, as he claimed, and as he proved with his resurrection, than his divinity is also necessarily without beginning. There is no time when Jesus becomes God. You can’t become God. Becoming is unbecoming of God. What God became was man.