The one Being of God is utterly divine. If Jesus, the Son, has the same Being of God, He is also utterly divine - not partially divine, or 'made' divine, for the uncreated nature of the only true God cannot be 'made' anything other than what He already is - perfect God.
The question you pose can only arise if Jesus, the Son of God, was created by God. No created creature can ever share the Being of God. That is why those who don't understand the Trinity doctrine go on so much about Jesus 'only' being 'a Son' and not 'THE Son' and not being fully divine. Take the way they twist what the Bible says about the Son in Hebrews 5:7-10 as one JW answerer has already done. The corrupt NWT rendition adds the indefinite article 'a' before Son plus 'became responsible for salvation' instead of 'causing salvation'. Jesus is THE unique, uncreated Son of God, but JWs insist he's created, hence their corrupt version of the Bible.
They try to ascribe partial deity to Christ, making John 1:1 say he's only 'a god' (like he's only 'a son', one of many even if highest in rank). They glibly quote Matthew 16:16-17 as if that proves Jesus cannot be God with a capital 'G', failing to notice the revelation needed from on high to understand what the title "the Son of God" means. A man who is the son of his human father is fully human - just as fully human as is his father. The man, Jesus, who is the Son of the heavenly Father, God, is fully divine - just as fully divine as is the Father. The point is that the terms 'Father' and 'Son' here do not mean God the Father created this Son. They describe the way those two 'persons' in the Godhead relate to each other. The Son is the eternal, uncreated, unique Son, which makes Him both God AND the Son of God.
When the Son agreed to leave Heaven, to be sent to Earth as a man, he had to be fully human to fully represent humanity; He had to be fully divine to have the magnitude of deity needed to fully atone for all sin. No mere man could do that! No mere angel could do that. Which is why the Bible in Hebrews 1:1-6 says that the Son is 'the exact representation' of God's very Being. Does God have the being (nature) of an angel? Of course not! Neither does Jesus, the Son of God, whom angels are to worship. How much more-so should we, who have had revealed to us just who it was dying for our sins at Calvary!