Multiplication by an integer is the same as repeated addition.
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A product is the result of multiplication, and a sum is the result of addition. Multiplication and addition are alike in that multiplication is really just repeated addition. For example, to multiply 3x5 is the same as 3+3+3+3+3 or 5+5+5. These will all result in either the product of 15 or the sum of 15.
A product is the answer of a multiplication equation. A sum is the answer of an addition equation.
There are a few ways to determine if a multiplication fact is correct:Repeated addition: since multiplication is simply repeated addition at its base, you can reaffirm a multiplication fact by repeatedly adding the number you're multiplying. With the basic multiplication facts (i.e. times tables), this is possibly the best option.Division: Since it's simply the reverse of multiplication, then you can just reverse the process to confirm it.Using multiple methods: There are multiple ways to do multiplication than just the usual long multiplication done in school, such as lattice multiplication, and Ayurvedic multiplication (just to name the two I know). You can use these to confirm a multiplication.
Because that's how the addition and multiplication functions were defined.
Multiplication is repeated addition.