Could somebody please compare and contrast the meanings of the two phrases:
"the product of the factors"
and
"the factors of the product."
In terms of expressing possession. Thank you.
Could somebody please compare and contrast the meanings of the two phrases:
"the product of the factors"
and
"the factors of the product."
In terms of expressing possession. Thank you.
The factors go into the product's construction. Also, the product is the result of an operation on the factors.
The same can be said for a sum and its terms:
The terms go into the sum's construction. Also, the sum is the result of an operation on the terms.
The factors $a$, $b$, and $c$ have product $a\cdot b\cdot c$.
$a$, $b$, and $c$ are the factors of the product $abc$.
$abc$ is the product of the factors $a$, $b$, and $c$.
I think "the product of the factors" is a value with each factor in the exact expressing possession.And "the factors of the product." is a set of factor values, that means you can express these values in any order.