how do you know when you have found all the multiplication combinations for a cetain number?
Do you mean like:
3 * 1, 3 * 2, 3 * 3, 3 * 4 -- and so on and so on until you get to 3 * 1,000,000,000,000?
i think Gina may mean the factors of a number, like the factors of 12 are 1,2,3,4,6,12
one way is to start at the lowest factor and write down its pair, ie: 1*12, then 2*6 then 3*4, when you get to 4*3 you have started to overlap meaning that you have reached the maximum number of combinations.
Determining all the multiplication combinations of a certain number can be achieved through a systematic approach. Let's consider an example to understand the process.
Let's say we want to find all the multiplication combinations of the number 4.
1. Start with the number itself: 4 x 1 = 4
2. Move to the next number: 4 x 2 = 8
3. Continue this process until you reach a point where the result of the multiplication exceeds the desired number (in this case, 4). In this case, you would multiply by 3: 4 x 3 = 12
4. At this point, it is safe to assume that all the multiplication combinations have been found, as continuing further will only yield results greater than our desired number.
So, the multiplication combinations for the number 4 are 4 x 1, 4 x 2, and 4 x 3, which give us the products 4, 8, and 12 respectively.
In general, you can apply the same approach to any number. Just keep multiplying the number by the integers in ascending order until the product exceeds the desired number.