A:
Positive:
1 x 8251146897 x 11787352737 x 2230039797 x 8506337259 x 3185771679 x 12151913589 x 22990125123 x 32843
Negative:
-1 x -825114689-7 x -117873527-37 x -22300397-97 x -8506337-259 x -3185771-679 x -1215191-3589 x -229901-25123 x -32843
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 825,114,689, 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 | 825,114,689 | |
| -1 | -825,114,689 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 825,114,689.
Example:
1 x 825,114,689 = 825,114,689
and
-1 x -825,114,689 = 825,114,689
Notice both answers equal 825,114,689
With that explanation out of the way, let's continue. Next, we take the number 825,114,689 and divide it by 2:
825,114,689 ÷ 2 = 412,557,344.5
If the quotient is a whole number, then 2 and 412,557,344.5 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 | 825,114,689 | |
| -1 | -825,114,689 |
Now, we try dividing 825,114,689 by 3:
825,114,689 ÷ 3 = 275,038,229.6667
If the quotient is a whole number, then 3 and 275,038,229.6667 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 | 825,114,689 | |
| -1 | -825,114,689 |
Let's try dividing by 4:
825,114,689 ÷ 4 = 206,278,672.25
If the quotient is a whole number, then 4 and 206,278,672.25 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 | 825,114,689 | |
| -1 | 825,114,689 |
If you did it right, you will end up with this table:
| 1 | 7 | 37 | 97 | 259 | 679 | 3,589 | 25,123 | 32,843 | 229,901 | 1,215,191 | 3,185,771 | 8,506,337 | 22,300,397 | 117,873,527 | 825,114,689 |
| -1 | -7 | -37 | -97 | -259 | -679 | -3,589 | -25,123 | -32,843 | -229,901 | -1,215,191 | -3,185,771 | -8,506,337 | -22,300,397 | -117,873,527 | -825,114,689 |
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