A:
Positive:
1 x 20433541711 x 1857594713 x 15718109103 x 1983839143 x 14289191133 x 1803491339 x 15260313873 x 14729
Negative:
-1 x -204335417-11 x -18575947-13 x -15718109-103 x -1983839-143 x -1428919-1133 x -180349-1339 x -152603-13873 x -14729
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 204,335,417, 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 | 204,335,417 | |
| -1 | -204,335,417 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 204,335,417.
Example:
1 x 204,335,417 = 204,335,417
and
-1 x -204,335,417 = 204,335,417
Notice both answers equal 204,335,417
With that explanation out of the way, let's continue. Next, we take the number 204,335,417 and divide it by 2:
204,335,417 ÷ 2 = 102,167,708.5
If the quotient is a whole number, then 2 and 102,167,708.5 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 | 204,335,417 | |
| -1 | -204,335,417 |
Now, we try dividing 204,335,417 by 3:
204,335,417 ÷ 3 = 68,111,805.6667
If the quotient is a whole number, then 3 and 68,111,805.6667 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 | 204,335,417 | |
| -1 | -204,335,417 |
Let's try dividing by 4:
204,335,417 ÷ 4 = 51,083,854.25
If the quotient is a whole number, then 4 and 51,083,854.25 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 | 204,335,417 | |
| -1 | 204,335,417 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 103 | 143 | 1,133 | 1,339 | 13,873 | 14,729 | 152,603 | 180,349 | 1,428,919 | 1,983,839 | 15,718,109 | 18,575,947 | 204,335,417 |
| -1 | -11 | -13 | -103 | -143 | -1,133 | -1,339 | -13,873 | -14,729 | -152,603 | -180,349 | -1,428,919 | -1,983,839 | -15,718,109 | -18,575,947 | -204,335,417 |
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