It IS called a product.
"The sum of a number and three times another number is 18. find the numbers if their product is a maximum?"
Multiplicand times multiplier equals product.
Another natural number, ten times as large.
"Product" is an operation that requires two things - called arguments. You cannot have a product of 3: it has to be the product of 3 and another number.
Any number multiplied by another number forms a product.
The product of a given number and another whole number is a multiple.
The product of a given number and another number is the first number multiplied by the second.
The product of a whole number and another whole number is a whole number.
A number times a number is a factor times a factor and it makes a product. Number x number = factor x factor = product
The only numbers that multiply to get a product of 39 are 1 and 39, or 3 and 13.