a) if someone is the product of a particular background or experience, their character is typical of that background or the result of that experience:
Paula was the product of a sheltered middle-class home.
b) if something is the product of a particular situation, process etc, it is the result of that situation or process:
The report was the product of four years' hard work.
3 [countable]technicalHMNthe number you get by multiplying two or more numbers inmathematics
4 [countable]HCCsomething that is produced through a natural or chemical process:
Hemoglobin is a product of red blood cells.
WORD CHOICE: WORD CHOICE: produce (v), produce (n), productThe verb produce is pronounced /prədjuːs $ -duːs/. The nounproduce is pronounced /prɒdjuːs $ proʊduːs/ and is used to mean 'food that has been grown to be sold'• We sell tinned goods and fresh produce (=fruit and vegetables).The usual noun used to mean 'something that is produced to be sold' is product• Their latest product is a games console. • the packaging of food products ➔ See alsoproduce
Definition from the Longman Dictionary of Contemporary English Advanced Learner's Dictionary.