A:
Positive:
1 x 1177287237 x 1681838917 x 692521949 x 240262779 x 1490237119 x 989317553 x 212891833 x 1413311343 x 876611789 x 658073871 x 304139401 x 12523
Negative:
-1 x -117728723-7 x -16818389-17 x -6925219-49 x -2402627-79 x -1490237-119 x -989317-553 x -212891-833 x -141331-1343 x -87661-1789 x -65807-3871 x -30413-9401 x -12523
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 117,728,723, 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 | 117,728,723 | |
| -1 | -117,728,723 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 117,728,723.
Example:
1 x 117,728,723 = 117,728,723
and
-1 x -117,728,723 = 117,728,723
Notice both answers equal 117,728,723
With that explanation out of the way, let's continue. Next, we take the number 117,728,723 and divide it by 2:
117,728,723 ÷ 2 = 58,864,361.5
If the quotient is a whole number, then 2 and 58,864,361.5 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 | 117,728,723 | |
| -1 | -117,728,723 |
Now, we try dividing 117,728,723 by 3:
117,728,723 ÷ 3 = 39,242,907.6667
If the quotient is a whole number, then 3 and 39,242,907.6667 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 | 117,728,723 | |
| -1 | -117,728,723 |
Let's try dividing by 4:
117,728,723 ÷ 4 = 29,432,180.75
If the quotient is a whole number, then 4 and 29,432,180.75 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 | 117,728,723 | |
| -1 | 117,728,723 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 49 | 79 | 119 | 553 | 833 | 1,343 | 1,789 | 3,871 | 9,401 | 12,523 | 30,413 | 65,807 | 87,661 | 141,331 | 212,891 | 989,317 | 1,490,237 | 2,402,627 | 6,925,219 | 16,818,389 | 117,728,723 |
| -1 | -7 | -17 | -49 | -79 | -119 | -553 | -833 | -1,343 | -1,789 | -3,871 | -9,401 | -12,523 | -30,413 | -65,807 | -87,661 | -141,331 | -212,891 | -989,317 | -1,490,237 | -2,402,627 | -6,925,219 | -16,818,389 | -117,728,723 |
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