Was Jesus really a carpenter?

Matthew 13:55 states:

Is not this the carpenter’s son? Is not his mother called Mary? And are not his brothers James and Joseph and Simon and Judas?

Mark 6:3 (ESV) states:

Is not this the carpenter, the son of Mary and brother of James and Joses and Judas and Simon?

Luke 2:46 (ESV) states:

After three days they found him in the temple, sitting among the teachers, listening to them and asking them questions

Luke 2:46 gives the impression Jesus as a child knew the Jewish scriptures. Is is impression true?

Was Jesus really from the family of carpenters? How could they know the priestly scriptures?

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