A:
Positive:
1 x 325121097 x 464458717 x 191247747 x 691747119 x 273211329 x 98821799 x 406915593 x 5813
Negative:
-1 x -32512109-7 x -4644587-17 x -1912477-47 x -691747-119 x -273211-329 x -98821-799 x -40691-5593 x -5813
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 32,512,109, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 32,512,109 | |
| -1 | -32,512,109 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 32,512,109.
Example:
1 x 32,512,109 = 32,512,109
and
-1 x -32,512,109 = 32,512,109
Notice both answers equal 32,512,109
With that explanation out of the way, let's continue. Next, we take the number 32,512,109 and divide it by 2:
32,512,109 ÷ 2 = 16,256,054.5
If the quotient is a whole number, then 2 and 16,256,054.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 32,512,109 | |
| -1 | -32,512,109 |
Now, we try dividing 32,512,109 by 3:
32,512,109 ÷ 3 = 10,837,369.6667
If the quotient is a whole number, then 3 and 10,837,369.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 32,512,109 | |
| -1 | -32,512,109 |
Let's try dividing by 4:
32,512,109 ÷ 4 = 8,128,027.25
If the quotient is a whole number, then 4 and 8,128,027.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 32,512,109 | |
| -1 | 32,512,109 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 47 | 119 | 329 | 799 | 5,593 | 5,813 | 40,691 | 98,821 | 273,211 | 691,747 | 1,912,477 | 4,644,587 | 32,512,109 |
| -1 | -7 | -17 | -47 | -119 | -329 | -799 | -5,593 | -5,813 | -40,691 | -98,821 | -273,211 | -691,747 | -1,912,477 | -4,644,587 | -32,512,109 |
Here are some more numbers to try:
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