A:
Positive:
1 x 2771362113 x 213181717 x 163021389 x 311389221 x 1254011157 x 239531409 x 196691513 x 18317
Negative:
-1 x -27713621-13 x -2131817-17 x -1630213-89 x -311389-221 x -125401-1157 x -23953-1409 x -19669-1513 x -18317
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 27,713,621, 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 | 27,713,621 | |
| -1 | -27,713,621 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 27,713,621.
Example:
1 x 27,713,621 = 27,713,621
and
-1 x -27,713,621 = 27,713,621
Notice both answers equal 27,713,621
With that explanation out of the way, let's continue. Next, we take the number 27,713,621 and divide it by 2:
27,713,621 ÷ 2 = 13,856,810.5
If the quotient is a whole number, then 2 and 13,856,810.5 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 | 27,713,621 | |
| -1 | -27,713,621 |
Now, we try dividing 27,713,621 by 3:
27,713,621 ÷ 3 = 9,237,873.6667
If the quotient is a whole number, then 3 and 9,237,873.6667 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 | 27,713,621 | |
| -1 | -27,713,621 |
Let's try dividing by 4:
27,713,621 ÷ 4 = 6,928,405.25
If the quotient is a whole number, then 4 and 6,928,405.25 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 | 27,713,621 | |
| -1 | 27,713,621 |
If you did it right, you will end up with this table:
| 1 | 13 | 17 | 89 | 221 | 1,157 | 1,409 | 1,513 | 18,317 | 19,669 | 23,953 | 125,401 | 311,389 | 1,630,213 | 2,131,817 | 27,713,621 |
| -1 | -13 | -17 | -89 | -221 | -1,157 | -1,409 | -1,513 | -18,317 | -19,669 | -23,953 | -125,401 | -311,389 | -1,630,213 | -2,131,817 | -27,713,621 |
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