A:
Positive:
1 x 279679197 x 399541729 x 964411203 x 137773311 x 89929443 x 631332177 x 128473101 x 9019
Negative:
-1 x -27967919-7 x -3995417-29 x -964411-203 x -137773-311 x -89929-443 x -63133-2177 x -12847-3101 x -9019
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 27,967,919, 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 | 27,967,919 | |
| -1 | -27,967,919 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 27,967,919.
Example:
1 x 27,967,919 = 27,967,919
and
-1 x -27,967,919 = 27,967,919
Notice both answers equal 27,967,919
With that explanation out of the way, let's continue. Next, we take the number 27,967,919 and divide it by 2:
27,967,919 ÷ 2 = 13,983,959.5
If the quotient is a whole number, then 2 and 13,983,959.5 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 | 27,967,919 | |
| -1 | -27,967,919 |
Now, we try dividing 27,967,919 by 3:
27,967,919 ÷ 3 = 9,322,639.6667
If the quotient is a whole number, then 3 and 9,322,639.6667 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 | 27,967,919 | |
| -1 | -27,967,919 |
Let's try dividing by 4:
27,967,919 ÷ 4 = 6,991,979.75
If the quotient is a whole number, then 4 and 6,991,979.75 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 | 27,967,919 | |
| -1 | 27,967,919 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 203 | 311 | 443 | 2,177 | 3,101 | 9,019 | 12,847 | 63,133 | 89,929 | 137,773 | 964,411 | 3,995,417 | 27,967,919 |
| -1 | -7 | -29 | -203 | -311 | -443 | -2,177 | -3,101 | -9,019 | -12,847 | -63,133 | -89,929 | -137,773 | -964,411 | -3,995,417 | -27,967,919 |
Here are some more numbers to try:
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