A product is the result obtained after two or more numbers go through the multiplication process. The quantities being multiplied together are called factors. In the multiplication sentence 7 x 8 = 56, the numbers 7 and 8 are the factors and 56 is the product of the operation.
The multiplier in a multiplication problem indicates how many times that the other number needs to be added with itself. In the example, seven was added to itself eight times: 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7. The sum, which is 56, is equivalent to the product of 7 and 8. In another example, 100 is the product if the quantities 2, 5 and 10 are multiplied together.