A:
Positive:
1 x 1170355697 x 1671936723 x 508850349 x 2388481113 x 1035713161 x 726929791 x 147959919 x 1273511127 x 1038472599 x 450315537 x 211376433 x 18193
Negative:
-1 x -117035569-7 x -16719367-23 x -5088503-49 x -2388481-113 x -1035713-161 x -726929-791 x -147959-919 x -127351-1127 x -103847-2599 x -45031-5537 x -21137-6433 x -18193
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 117,035,569, 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 | 117,035,569 | |
| -1 | -117,035,569 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 117,035,569.
Example:
1 x 117,035,569 = 117,035,569
and
-1 x -117,035,569 = 117,035,569
Notice both answers equal 117,035,569
With that explanation out of the way, let's continue. Next, we take the number 117,035,569 and divide it by 2:
117,035,569 ÷ 2 = 58,517,784.5
If the quotient is a whole number, then 2 and 58,517,784.5 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 | 117,035,569 | |
| -1 | -117,035,569 |
Now, we try dividing 117,035,569 by 3:
117,035,569 ÷ 3 = 39,011,856.3333
If the quotient is a whole number, then 3 and 39,011,856.3333 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 | 117,035,569 | |
| -1 | -117,035,569 |
Let's try dividing by 4:
117,035,569 ÷ 4 = 29,258,892.25
If the quotient is a whole number, then 4 and 29,258,892.25 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 | 117,035,569 | |
| -1 | 117,035,569 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 49 | 113 | 161 | 791 | 919 | 1,127 | 2,599 | 5,537 | 6,433 | 18,193 | 21,137 | 45,031 | 103,847 | 127,351 | 147,959 | 726,929 | 1,035,713 | 2,388,481 | 5,088,503 | 16,719,367 | 117,035,569 |
| -1 | -7 | -23 | -49 | -113 | -161 | -791 | -919 | -1,127 | -2,599 | -5,537 | -6,433 | -18,193 | -21,137 | -45,031 | -103,847 | -127,351 | -147,959 | -726,929 | -1,035,713 | -2,388,481 | -5,088,503 | -16,719,367 | -117,035,569 |
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