A:
Positive:
1 x 2011310217 x 2873300313 x 1547161723 x 874482791 x 2210231161 x 1249261299 x 6726792093 x 96097
Negative:
-1 x -201131021-7 x -28733003-13 x -15471617-23 x -8744827-91 x -2210231-161 x -1249261-299 x -672679-2093 x -96097
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 201,131,021, 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 | 201,131,021 | |
| -1 | -201,131,021 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 201,131,021.
Example:
1 x 201,131,021 = 201,131,021
and
-1 x -201,131,021 = 201,131,021
Notice both answers equal 201,131,021
With that explanation out of the way, let's continue. Next, we take the number 201,131,021 and divide it by 2:
201,131,021 ÷ 2 = 100,565,510.5
If the quotient is a whole number, then 2 and 100,565,510.5 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 | 201,131,021 | |
| -1 | -201,131,021 |
Now, we try dividing 201,131,021 by 3:
201,131,021 ÷ 3 = 67,043,673.6667
If the quotient is a whole number, then 3 and 67,043,673.6667 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 | 201,131,021 | |
| -1 | -201,131,021 |
Let's try dividing by 4:
201,131,021 ÷ 4 = 50,282,755.25
If the quotient is a whole number, then 4 and 50,282,755.25 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 | 201,131,021 | |
| -1 | 201,131,021 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 23 | 91 | 161 | 299 | 2,093 | 96,097 | 672,679 | 1,249,261 | 2,210,231 | 8,744,827 | 15,471,617 | 28,733,003 | 201,131,021 |
| -1 | -7 | -13 | -23 | -91 | -161 | -299 | -2,093 | -96,097 | -672,679 | -1,249,261 | -2,210,231 | -8,744,827 | -15,471,617 | -28,733,003 | -201,131,021 |
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